Find the Area Enclosed Between Two Concentric Circles, If Their Radii Are 6 Cm and 13 Cm Respectively. - Mathematics

Advertisements
Advertisements
Sum

Find the area enclosed between two concentric circles, if their radii are 6 cm and 13 cm respectively. 

Advertisements

Solution

Area between two concentric circles = Area of larger cirde - area of smaller circle

Area of the drde = πr2 

Radius of bigger drde = r 1 = 13 cm 

Radius of smaller drde = r 2 = 6 cm 

Required area = `pi "r"1^2 - pi "r"2^2`

`= (22/7 xx 13 xx 13) - (22/7 xx 6 xx 6)`

= 531.1429 - 113.1429

= 418 cm2

Hence, required area = 418 cm2 

  Is there an error in this question or solution?
Chapter 19: Mensuration I - Exercise 19.1

APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 19 Mensuration I
Exercise 19.1 | Q 6

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

The radius of a circle is 7 cm. find the circumference of the circle.


In figure, ΔABC is an isosceles triangle with perimeter 44 cm. The base BC is of length 12 cm. Side AB and side AC are congruent. A circle touches the three sides as shown in the figure below. Find the length of the tangent segment from A to the circle.


In Fig. 4, O is the centre of a circle such that diameter AB = 13 cm and AC = 12 cm. BC is joined. Find the area of the shaded region. (Take π = 3.14)


In Figure, find the area of the shaded region [Use π = 3.14]


The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.


From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14)


Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs ₹ 15. ( Take π = 3.14)


A doorway is decorated as shown in the figure. There are four semi-circles. BC, the diameter of the larger semi-circle is of length 84 cm. Centres of the three equal semicircles lie on BC. ABC is an isosceles triangle with AB = AC. If BO = OC, find the area of the shaded region. (Take `pi = 22/7`)


The minute hand of a clock is √21 𝑐𝑚 long. Find area described by the minute hand on the face of clock between 7 am and 7:05 am


A plot is in the form of rectangle ABCD having semi-circle on BC. If AB = 60m and BC = 28m, find the area of plot.


Find the circumferences of a circle whose radius is 7 cm.


The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - 30°  find the area of the sector in case.

The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210°,  find the area of the sector in case.


The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - three right angles; find the area of the sector in case.


The area of a minor sector of a circle is 3.85 cmand the measure of its central angle is 36°. Find the radius of the circle.


In the given figure,

\[\square\] PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y, and z.  


Choose the correct alternative answer for the following question.
The ratio of circumference and area of a circle is 2:7. Find its circumference.

Choose the correct alternative answer for the following question.
If measure of an arc of a circle is 160° and its length is 44 cm, find the circumference of the circle.
 

Choose the correct alternative answer for the following question.

The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.


Choose the correct alternative answer for the following question.

A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.

 

Choose the correct alternative answer for the following question.

 Find the volume of a cube of side 0.01 cm.

Diagonal of a square is 20 cm. Find the length and perimeter of the square.


Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take π = 3.14]


The circumference of a circle is 8 cm. Find the area of the sector whose central angle is 72°.


A sector of 56°, cut out from a circle, contains 17.6 cm2. Find the radius of the circle.


Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimensions 14 cm ⨯ 7 cm. Find the area of the remaining cardboard.


The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumference of the circles.


Radii of the circles are given below, find their areas.
(1) 28 cm
(2) 10.5 cm
(3) 17.5 cm


Areas of some circles are given below find their diameters.
(1) 176 sq cm
(2) 394.24 sq cm
(3) 12474 sq cm


Diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.


Find the area of the circle if its circumfence is 88 cm.


The diameter of a cycle wheel is `4 5/11` cm. How many revolution will it make in moving 6.3 km ?


A wire when bent in the form of a square encloses an area of 484 cm2. If the same wire is bent into the form of a circle, find the area of the circle. 


Find the circumference of the circle whose area is 25 times the area of the circle with radius 7 cm. 


Find the area and perimeter of the following semi-circle :

Radius= 1.4 cm


A 7 m road surrounds a circular garden whose area is 5544 m2. Find the area of the road and the cost of tarring it at the rate of Rs.150 per sq m.  


Find the area and perimeter of the following sector :

Radius= 6 cm, angle at the centre is 70° 


Find the area and perimeter of the following sector :

Diameter = 42 cm, angle at the centre is 100·. 


A horse is tied with a 21 m laig rope to the corner of a field which is in the shape of an equilateral triangle. Find the area of the field over which it can graze.


The wheel of the car makes 10 revolutions per second. If its diameter is 70 cm, find the speed of the car in km per hour. 


The speed of the car is 66 km/hour. If each wheel of the car is 140 cm in diameter, find the number of revolutions made by each wheel per minute.


Find the volume and the surface area of the spheres in the following :

Diameter= 6.3 cm 


Find the total surface area and volume of a hemisphere whose radius is 10 cm. 


Find the diameter of the sphere for the following : 

Surface Area = 221. 76 cm2 


In the given figure, the area of the shaded portion is 770 cm2. If the circumference of the outer circle is 132 cm, find the width of the shaded portion.


The shaded portion of the figure, given alongside, shows two concentric circles. If the circumference of the two circles is 396 cm and 374 cm, find the area of the shaded portion.


An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.


The circumference of a given circular park is 55 m. It is surrounded by a path of uniform width of 3.5 m. Find the area of the path.


The radius of a circle is 21 cm. Find the circumference (Take π = `3 1/7`).


The circumference of a circle is 440 cm. Find its radius and diameter. (Take π = `22/7`)


The diameter of a circular field is 56 m. Find its circumference and cost of fencing it at the rate of ₹80 per m. (Take π =`22/7`)


The radius of two circles are 20 cm and 13 cm. Find the difference between their circumferences. (Take π =`22/7`)


The perimeter of a square and the circumference of a circle are equal. If the length of each side of the square is 22 cm, find:
(i) perimeter of the square.
(ii) circumference of the circle.
(iii) radius of the circle.


Find the diameter of a circle whose circumference is equal to the sum of circumference of circles with radius 10 cm, 12 cm, and 18 cm.


The radius of two circles are in the ratio 3 : 5, find the ratio between their circumferences.


The circumferences of two circles are in the ratio 5: 7, find the ratio between their radius.


Each side of a square is 44 cm. Find its perimeter. If this perimeter is equal to the circumference of a circle, find the radius of the circle.


The circumference of a circle exceeds its diameter by 18 cm. find the radius of the circle.


Construct the circumcircle of the ABC when BC = 6 cm, B = 55° and C = 70°.


Using a ruler and compasses only:
(i) Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ∠ ABC = 120°.
(ii) In the same diagram, draw a circle with BC as diameter. Find a point P on the circumference of the circle which is equidistant from AB and BC.
(iii) Measure ∠ BCP.


Find the area of a circle whose circumference is 22 cm.


If the perimeter of a semi-circular protractor is 36 cm. Find its diameter.


In the adjoining figure, the crescent is formed by two circles which touch at the point A. O is the centre of bigger circle. If CB = 9 cm and DE = 5 cm, find the area of the shaded portion.


Complete the table below.

Radius (r)  Diameter (d) Circumference (c)
7 cm ______ _______

Complete the table below.

Radius (r)  Diameter (d) Circumference (c)
_______ 28 cm _________

Complete the table below.

Radius (r)  Diameter (d) Circumference (c)
_______ _________ 616 cm

Complete the table below.

Radius (r)  Diameter (d) Circumference (c)
_______ _________ 72.6 cm

The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre?


The wheel of a bullock cart has a diameter of 1.4 m. How many rotations will the wheel complete as the cart travels 1.1 km?


The diameter of a circle is 5.6 cm. Find its circumference.


The diameter of the wheel of a cart is 1.05 m. How much distance will the cart cover in 1000 rotations of the wheel?


Find the area and perimeter of the circles with following: Diameter = 35cm


The circumference of a circle is numerically equal to its area. Find the area and circumference of the circle.


A bucket is raised from a well by means of a rope wound round a wheel of diameter 35 cm. If the bucket ascends in 2 minutes with a uniform speed of 1.1 m per sec, calculate the number of complete revolutions the wheel makes in raising the bucket.


The diameter of a cycle wheel is `4(5)/(11)"cm"`. How many revolutions will it make in moving 6.3km?


Find the circumference of the circle whose area is 25times the area of the circle with radius 7cm.


The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq.m. Find the area of the circle.


The radius of a circular plot is 7.7 metres. How much will it cost to fence the plot with 3 rounds of wire at the rate of 50 rupees per metre?


The radius of the wheel of a bus is 0.7 m. How many rotations will a wheel complete while traveling a distance of 22 km?


Diameters of different circles are given below. Find their circumference (Take π = `22/7`)

d = 28 mm


Find the circumference of the circles whose radii are given below.

49 cm


Find the circumference of the circles whose radii are given below.

91 mm


The diameter of a circular well is 4.2 m. What is its circumference?


A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?


A Rose garden is in the form of circle of radius 63 m. The gardener wants to fence it at the rate of ₹ 150 per metre. Find the cost of fencing?


Formula used to find the circumference of a circle is


If the circumference of a circle is 82π, then the value of ‘r’ is


Circumference of a circle is always ______.


The cost of decorating the circumference of a circular lawn of a house at the rate of ₹ 55 per metre is ₹ 16940. What is the radius of the lawn?


A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is ______.


Circumference of a circle of diameter 5 cm is ______.


The area of a square is 100 cm2. The circumference (in cm) of the largest circle cut of it is ______.


The area of a semicircle of radius 4r is ______.


Circumference ‘C’ of a circle is equal to 2π × ______.


Ratio of circumference of a circle to its radius is always 2π:I.


ABCD is a given rectangle with length as 80 cm and breadth as 60 cm. P, Q, R, S are the midpoints of sides AB, BC, CD, DA respectively. A circular rangoli of radius 10 cm is drawn at the centre as shown in the given figure. Find the area of shaded portion.


Share
Notifications



      Forgot password?
Use app×