5. 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
Answers
Answered by
4
Answer:
40 cm^2
Step-by-step explanation:
(I))length of arc = 21 × 60 × π/180
= 7π radian
(ii) sector area = 60/360 * π *(21)^2
= 1/6 * 22/7 * 441 = 231cm^2
(iii) central angle = 60° so the triangle formed will be an equilateral. ∆
otherwise you can also find the length of chord AB = 2r sin A/2 =2×21× sin60/2
= 21 cm
area of ∆ AOB = √3/4 * (21)^2
= 441√3/4 = 191 cm^2 (approx.)
area of the segment
= area of the sector - area of the ∆ AOB
= 231 - 191 = 40 cm^2
Answered by
6
Answer:
hlo
Step-by-step explanation:
aao 3=4 wale question mai aao jalde
jalde aao baat karne hai
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