# Chapter 11 | Perimeter and Area | Class-7 DAV Secondary Mathematics

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## Unit 11 Worksheet 6 || Perimeter and Area

1. Find the area of a circle of diameter 8.4 m.

2. The circumference of a circle is 17.6 cm. Find the area of the circle.

3. The area of a circular lawn is 154 m2, find its circumference.

4. A circular plot is of radius 77 m. Find its value at 175 per square metre.

5. The diameters of two silver discs are in the ratio 2 : 3. What will be the ratio of their areas?

6. If the perimeter of a semi-circular park is 72 m, find its area and radius.

7. If a wire of 440 m length is moulded in the form of a circle and a square turn-by-turn, find the ratio of the area of the circle to that of square.

8. Find the area of the square that can be inscribed in a circle of radius 8 cm.

9. The diameter of a circular park is 24 m. A 3 m wide path runs around it from inside. Find the cost of paving the path at 25 per square meter.

10. A paper is in the form of a rectangle PQRS in which PQ = 10 cm and QR = 7 cm. Two semi-circular portions with QR and PS as diameters are cut off (As shown in P figure 11.22). Find the area of the remaining part.

11. A horse is tied to a pole with 21 m long string. Find the area where the horse can graze.

12. Two concentric circles have radii of 14 cm and 7 cm respectively. Find the area of space between them.

13. The sum of circumferences of four small circles of equal radius is equal to the circumference of a bigger circle. Find the ratio of the area of the bigger circle to that of the smaller circle.

14. The area of a circle is equal to the area of a rectangle with sides 112 m and 88 m respectively. Find the circumference of the circle.

1. Mast