Angle of a sector is 60° and radius is 14 cm, then its area is ………… cm^2. (A) 100.6 (B) 102.67
Angle of a sector is 60° and radius is 14 cm, then its area is ………… cm2.
(A) 100.6
(B) 102.67
(C) 111.6
(D) 98.66
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Correct option is: (B) 102.67
We have r = 14 cm and angle of sector is 60°.
\(\because \) Area of circle (Or sector of central angle 60°) = \(\pi r^2\)
\(\therefore\) Area of sector whose central angle is 60° = \(\frac {\pi r^2}{360^circ} \times 60^\circ\).
= \(\frac {\pi r^2}{6}= \frac 16 \times \frac {22}{7} \) x 14 x 14 = \(\frac {616}{6} = 102.67 cm^2\).
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