1.

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 mI 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»

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



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