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+1 vote
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in Areas Related To Circles by (65.5k points)

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, 

(iii) area of the segment formed by the corresponding chord.

1 Answer

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by (65.2k points)
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Best answer

Radius of the circle, r = 21 cm. 

Angle at the centre of the circle, θ = 60° 

(1) the length of the arc ? 

(2) Area of the sector formed by the arc? 

(3) Area of the segment.

(1) The length of arc OAPB

= 22 cm

(2) Area of the sector OAPB

(3) Area of the segment APB: 

= Area of the sector OAPB – Area of the equilateral ∆OAB

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