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...

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 5 m long rope Find the area of that part of the field in which the horse can graze

Accepted Answer

As the horse is tied at one end of a square field, it will graze only a quarter (i.e. sector with θ = 90°) of the field with radius 5 m.

Here, the length of rope will be the radius of the circle i.e. r = 5 m

It is also known that the side of square field = 15 m

Area of circle = πr² = 22/7 × 5² = 78.5 m²

Now, the area of the part of the field where the horse can graze = ¼ (the area of the circle) = 78.5/4 = 19.625 m²

NCERT Solutions Class 10 Mathematics Solutions for Areas Related to Circles - Exercise 12.2 in Chapter 12 - Areas Related to Circles