The area of a sector of a circle of radius 7 cm and central angle 60° is …………… (A) 77/3
The area of a sector of a circle of radius 7 cm and central angle 60° is ……………
(A) 77/3
(B) 77/6
(C) 77/9
(D) 154/5
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Correct option is: (A) 77/3
\(\because\) The are of sector of central angle 360°
= Area of circle = \(\pi r^2\).
\(\therefore\) Area of sector of central angle 60° = \(\frac {\pi r^2}{360^\circ} \times 60^\circ = \frac {\pi r^2}6\)
= \(\frac {22}7 \times 7 \times 7 \times \frac 16 = \frac {154}6 = \frac {77}3 \, cm^2\)
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