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 (see Figure). 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 5 m. (use π = 3.14)

Answer 1

Length of the rope, r = 5 m, θ = 90° 

Area of segment = ?

(ii) Length of the rope, r=10 cm, θ= 90° 

Area of segment =?

∴ Area of the field which is increased in the grazing 

= Equation (2) – Equation (1) 

= 78.5 – 19.63 

= 58.87 sq. cm.

Comments

Nice answer