(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Find the radius and area of the circle which has circumference equal to the sum of circumferences of the two circles of radii 3 cm and 4 cm respectively.

The diameter of two circles are 28 cm and 24 cm. Find the circumference of the circle having its area equal to sum of the areas of the two circles.

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.

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

A cart wheel makes 9 revolutions per second. If the diameter of the wheel is 42cm, find its speed in km per hour. (Answer correct to the nearest km)

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 o a garden roller is 280cm. How many revolutions does it make in moving 490m?

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

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

A wire when bent in the form of a square encloses an area of 484cm². 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 `121sqrt(3)"cm"^2`. 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 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.

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

A 4.2m wide road surrounds a circular plot whose circumference is 176m. Find the cost of paving the road at Rs.75per m².

The cost of fencing a circular field at the rate of Rs.250 per metre is Rs.55000. The field is to be ploughing at the rate of Rs.15 per m². Find the cost of ploughing the field.

Find the length of 22 kg copper wire of diameter 0.8 cm, if the weight of 1 cm³ copper is 4.2 g.

Find the length of a solid cylinder of diameter 4 cm when recast into a hollow cylinder of outer diameter 10 cm, thickness 0.25 cm and length 21 cm? Give your answer correct to two decimal places.

The cross section of a piece of metal 2 m in length is shown. Calculate the area of cross section.

The cross section of a piece of metal 2 m in length
is shown. Calculate the volume of the piece of metal.