Question

A horse is grazing in a field. It is tied to a pole with a rope of length 6 m. The horse moves from point A to point B making an arch with an angle of 70°. Find the area of the sector grazed by the horse.

(a) 20.99 m

(b) 21.99 m

(c) 22.99 m

(d) 23.99 m

I had been asked this question in an interview for internship.

My question is based upon Area of Sector and Segment of a Circle topic in section Area Related to Circles of Mathematics – Class 10

Answer 1

The correct choice is (b) 21.99 m

To explain I would say: The area of the sector = \(\frac {x^{\circ }}{360^{\circ }}\) × πr^2

= \(\frac {70^{\circ }}{360^{\circ }} \times \frac {22}{7}\) × 6^2

= 21.99 m