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

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

Radius= 2.8 cm 

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

Radius= 10.5 cm 

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

 Diameter = 77 cm 

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

Diameter= 35 cm 

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

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

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.

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

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.

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. 

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.

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

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. 

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

Radius= 1.4 cm

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

Diameter= 7 cm

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

Diameter= 5.6 cm 

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. 

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.  

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. 

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.

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. 

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. 

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 .

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 .

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.

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.

Find the area and perimeter of the following sector :

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

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.

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

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

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

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.

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