# Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 19 - Mensuration I [Latest edition]

## Chapter 19: Mensuration I

Exercise 19.1
Exercise 19.1

### Frank solutions for ICSE Class 10 Mathematics Part 2 Chapter 19 Mensuration I Exercise 19.1

Exercise 19.1 | Q 1.1

Find the area and perimeter of the circle with the following :

Exercise 19.1 | Q 1.2

Find the area and perimeter of the circle with the following :

Exercise 19.1 | Q 1.3

Find the area and perimeter of the circle with the following :

Diameter = 77 cm

Exercise 19.1 | Q 1.4

Find the area and perimeter of the circle with the following:

Diameter= 35 cm

Exercise 19.1 | Q 2

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.

Exercise 19.1 | Q 3

The circumference of a garden roller is 280 cm. How many revolutions does it make in moving 490 meters?

Exercise 19.1 | Q 4

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

Exercise 19.1 | Q 5

The area of a circular ring enclosed between two concentric circles is 88 cm 2. Find the radii of the two circles, if their difference is 1 cm.

Exercise 19.1 | Q 6

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

Exercise 19.1 | Q 7

The area between the circumferences of two concentric circles is 2464 cm2. If the inner circle has circumference of 132 cm, calculate the radius of outer circle.

Exercise 19.1 | Q 8

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.

Exercise 19.1 | Q 9

A wire bent in the form of an equilateral triangle has an area of 121 sqrt 3 cm2. If the same wire is bent into the form of a circle , find the area enclosed by the wire.

Exercise 19.1 | Q 10

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

Exercise 19.1 | Q 11

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.

Exercise 19.1 | Q 12.1

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

Exercise 19.1 | Q 12.2

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

Diameter= 7 cm

Exercise 19.1 | Q 12.3

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

Diameter= 5.6 cm

Exercise 19.1 | Q 13

A wire is in the form of a circle of radius 42 cm. It is bent into a square.
Determine the side of the square and compare the area of the regions enclosed in two cases.

Exercise 19.1 | Q 14

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.

Exercise 19.1 | Q 15

A 4.2 m wide road surrounds a circular plot whose circumference is 176 m. Find the cost of paving the road at Rs 75 m 2

Exercise 19.1 | Q 16

Two circles touch each other externally. The sum of their areas is 5811 cm2 and the distance between their centres is 10 cm. Find the radii of the two circles.

Exercise 19.1 | Q 17

The sum of diameter of two circles is 112 cm and the sum of their areas is 5236 cm2 Find the radii of the two circles.

Exercise 19.1 | Q 18

The sum of the radii of two circles is 10.5 cm and the difference of their circumferences is 13. 2 cm. Find the radii of the two circles.

Exercise 19.1 | Q 19

A lawn is in the shape of a semi-circle of diameter 42 m. The lawn is surrounded by a flower bed of width 7 m all around. Find the area of the flower bed in m2 .

Exercise 19.1 | Q 20

Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .

Exercise 19.1 | Q 21

Find the area of the biggest circle that can be cut from a rectangular piece of 44cm by 28 cm. Also, find the area of the paper left after cutting out the circle.

Exercise 19.1 | Q 22

Find the area grazed by a horse tied with a 11. 2 m rope to a corner of a field measuring 25m by 15 m.

Exercise 19.1 | Q 23.1

Find the area and perimeter of the following sector :

Radius= 4.2 cm, angle at the centre is 60 °

Exercise 19.1 | Q 23.2

Find the area and perimeter of the following sector :

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

Exercise 19.1 | Q 23.3

Find the area and perimeter of the following sector :

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

Exercise 19.1 | Q 24

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.

Exercise 19.1 | Q 25

Find the area of a circular field that has a circumference of 396 m.

Exercise 19.1 | Q 26

Find the circumference of the circle whose area is 81π cm 2

Exercise 19.1 | Q 27

The diameter of a wheel is 1.4m. How many revolutions does it make in moving a distance of 2.2 kms?

Exercise 19.1 | Q 28

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.

Exercise 19.1 | Q 29

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.

Exercise 19.1 | Q 30

A cart wheel makes 9 revolutions per second. If the diameter of the wheel is 42 cm, find its speed in km/hr.

Exercise 19.1

## Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 19 - Mensuration I

Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 19 (Mensuration I) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE ICSE Class 10 Mathematics Part 2 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in ICSE Class 10 Mathematics Part 2 chapter 19 Mensuration I are Surface Area of a Right Circular Cone, Circle - Direct Application Problems Including Inner and Outer Area, Volume of a Cylinder, Volume of a Combination of Solids, Surface Area of a Sphere, Surface Area of Cylinder, Circumference of a Circle, Surface Area of a Sphere, Surface Area of a Right Circular Cone.

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