**Areas related to Circles ncert solutions Chapter 12 Exercise 12.2 Question 8**

**8. A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope. Find **

(i) the area of that part of the field in which the horse can graze.

(ii) the increase in the grazing area if the rope were 10 m long instead of 5m. (Use )

**Solution:**

Lets suppose that horse is tied to point D. The length of rope is 5 m. It means that horse can graze only the area of sector PQD.

**(i)**

**Area of sector PQD**=

**(ii)**

If, the length of rope is 10 m instead of 5 m then area in which horse can graze is:

**The increase in grazing area=78.5-19.625=58.875**