The area of the sector, whose radius is 7 cm with angle 60°, is (A) 52.66 cm^2
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
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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 \(25.66 \,cm^2\).
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