Math, asked by theultimate, 1 year ago

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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.​

Answers

Answered by quikiequeen
2
hey mate ....

here's your answer

hope it helps

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Answered by siddhartharao77
3

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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