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40 points...........
Find the area of the minor segment of a circle of radius 42cm, if length of the corresponding
arc is 44cm.
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hey mate ....
here's your answer
hope it helps
thnx
pls mark it as brainlist
here's your answer
hope it helps
thnx
pls mark it as brainlist
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Answered by
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Answer:
(924 - 441√3) cm²
Step-by-step explanation:
Given, radius = 42 cm.
⇒ 2πrθ/360° = 42
⇒ θ = (44 * 360 * 7)/2 * 22 * 42
= 110880/1848
= 60°
∴ Area of minor segment = Area of sector - Area of corresponding triangle
= (πr²θ/360°) - (√3/4)r²
= r²[22/7 * 60/360 - √3/4]
= r²[11/21 - √3/4]
= 42²[(44 - 21√3)/84]
= 21(44 - 21√3) cm²
= (924 - 441√3) cm²
Therefore, Area of minor segment = (924 - 441√3) cm²
Hope it helps!
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