Questions and Solutions for NCERT Class 7th Mathematics – Chapter 11 – Perimeter and Area – Exercise – 11.3
1. Find the circumference of the circles with the following radius: (Take π = 22/7 )
(a) 14 cm (b) 28 mm (c) 21 cm
2. Find the area of the following circles, given that:
(a) radius = 14 mm (Take π = 22/7 ) (b) diameter = 49 m (c) radius = 5 cm
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 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the costs of the rope, if it cost 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 1cm are removed. (as shown in the adjoining figure). 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? (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)
You can find the solutions for previous exercise from here
- Perimeter and Area – Exercise – 11.2
- Chapter 11 – Perimeter and Area – Exercise – 11.1
- Chapter 10 – Practical Geometry – Exercise -10.5
- Practical Geometry – Exercise -10.4
- Chapter 10 – Practical Geometry – Exercise -10.3
- Practical Geometry – Exercise -10.2
- Chapter 10 – Practical Geometry – Exercise -10.1
- Chapter 9 – Rational Numbers – 9.2
- Rational Numbers – Exercise – 9.1
- Comparing Quantities – Exercise – 8.3
- Chapter – 8 – Comparing Quantities – Exercise – 8.2
- Comparing Quantities – Exercise – 8.1
- Congruence of Triangles – Exercise – 7.2
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