English

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.

Advertisements
Advertisements

Question

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.

Sum
Advertisements

Solution

The side of a square = 44 cm

∴ Its perimeter = 4 × Side

= 4 × 44 = 176 cm

Since, Its is given that, Circumference of a circle = Perimeter of a square

∴ Circumference of a circle = 176 cm

Let, the radius of the circle = r

⇒ 2πr = 176 cm

r = `(176xx7)/(2xx22)` = 28 cm

∴ The radius of the circle = 28 cm

shaalaa.com
  Is there an error in this question or solution?
Chapter 20: Mensuration - Exercise 20 (A)

APPEARS IN

Selina Concise Mathematics [English] Class 7 ICSE
Chapter 20 Mensuration
Exercise 20 (A) | Q 25

RELATED QUESTIONS

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`)


Find the circumference and area of circle of radius 4.2 cm


In circle of radius 6cm, chord of length 10 cm makes an angle of 110° at the centre of circle find The area of sector


In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region. [π = 3.14]


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 base circumferences of two cones are the same. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surface areas. 


A cylindrical bucket, whose base radius is 20 cm, is filled with water to a height of 25 cm. A heavy iron spherical ball of radius 10 cm is dropped to submerge completely in water in the bucket. Find the increase in the level of water. 


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


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

91 mm


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?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×