Question

Find the area of the sector if the radius is 6 cm and with an angle of 60°.

(a) 18.35 cm

(b) 18.85 cm

(c) 18.00 cm

(d) 18.05 cm

The question was posed to me in a national level competition.

Question is from Number of Tangents from a Point on the Circle topic in section Circles of Mathematics – Class 10

Answer 1

Correct choice is (b) 18.85 cm

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

= \(\frac {60^{\circ }}{360^{\circ }}\) x \(\frac {22}{7}\) × 6^2

= 18.85 cm