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in Areas Related To Circles by (30.2k points)
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In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find 

(i) the length of the arc 

(ii) area of the sector formed by the arc

(use π = \(\frac{22}7\))

2 Answers

+1 vote
by (28.9k points)
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Best answer

Given, 

Radius of circle = 21 cm 

Angle subtend by arc = 60° 

\(\frac{60π}{180}\) = \(\frac{π}{3}\) radius

Length of the arc = \(\frac{π}{3}\times21\) = 22 cm

Area of sector formed by arc = \(\frac{θ}{360}πr^2\)

\(\frac{60}{360}\times\frac{22}7\times21\times21\)

\(\frac{1}{60}\times\frac{22}7\times21\times21\)

= 23.1 cm2

+1 vote
by (25 points)

Please like my answer..

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