Class 7 Maths Chapter 9 Exercise-9.2 Solutions (New 2023 Syllabus)

Here you will find solutions to exercise 9.2

1. Find the circumference of the circle with the following radius: (Take π= 22∕7)

2. Find the area of the following circles, given that:

3. If the circumference of a circular sheet is 154 m, find its radius. Also, find the area of the sheet. (Take π = 22/7)

4. A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs 4 per meter. (Take π = 22/7)

5. 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)

6. 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 Rs 15. (Take π = 3.14)

7. Find the perimeter of the adjoining figure, which is a semicircle including its diameter.

8. Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs 15/m² . (Take π = 3.14)

9. Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take π= 22∕7)

10. From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed. Find the area of the remaining sheet. (Take π= 22∕7)

11. A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)

12. The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take π = 3.14)

13. A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (Take π = 3.14)

14. A circular flower garden has an area of 314 m² . A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)

15. Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take π = 3.14)

16. How many times a wheel of radius 28 cm must rotate to go 352 m? (Take π= 22∕7)

17. The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)