Question

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: (i) length of the arc. (ii) area of the sector formed by the arc. (iii) area of the segment formed by the corresponding chord.




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Answer 1

Explanation:

1. l= 21*60*π/180=20.94cm

2. area=1/2r^2*angle= 1/2*21^2*60*π/180=230.91cm^2

3. area= area of sector-area of traingle

=230.91-21^2*√3/4=39.95cm^2

Answer 2

Explanation:

⠀ ⠀　In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: (i) length of the arc. (ii) area of the sector formed by the arc. (iii) area of the segment formed by the corresponding chord.