Question

A horse is tied to a peg at one corner of a square-shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze is ____________.

विकल्प

• `77  "cm"^2`

• `77/2  "cm"^2`

• `154  "cm"^2`

• `77/4  "cm"^2`

Answer 1

A horse is tied to a peg at one corner of a square-shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze is `underline(77/2  "cm"^2)`.

Explanation:

Here r = 7 m, ` theta = 90^circ`

`therefore  "Area of sector" = theta/360 xx pi "r"^2`

`= 90/360 xx 22/7 xx 7 xx7`

`= 1/4 xx 22 xx 7`

`= 7/22  "m"^2`