Question

The area of the sector, whose radius is 7 cm with angle 60°, is

(A) 52.66 cm²

(B) 25.66 cm²

(C) 62.56 cm²

(D) 65.62 cm²

Answer 1

Correct option is: (B) 25.66 cm²

\(\because\) The area of circle (Sector of angle 360°) = \(\pi r^2\)

\(\therefore\) The are of sector of angle 60° = \(\frac {\pi r^2}{360^\circ} \times 60^\circ = \frac {\pi r^2}{6}\)

= \(\frac 16 \times \frac {22}7 \times 7 \times 7 \,cm^2 \) ( \(\because\) r = 7 cm)

= \(\frac {154}6 \, cm^2 = 25.66 \,cm^2\)

Hence, area of the sector whose radius is 7 cm with angle 60° is \(25.66 \,cm^2\).

Answer 2

Correct option is: (B) 25.66 cm²