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Find the area of minor segment …

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Find the area of minor segment of circle of radius 42 cm. If length of corresponding arc is 44cm.

Posted by Yash Mohite 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 6 years, 11 months ago

Length of arc = θ/360 2πr = 44 cm
Putting r = 42cm, we get θ= 60°
Now, Area of minor segment= Area of minor sector-Area of ∆
Since = 60°, so the triangle formed will be an equilateral
∴ ∆ Area of minor segment= Area of minor sector - Area of equilateral ∆
i.e. Area of minor segment = θ/360 πr² - √3/4 a²
= 924 - 441√3 cm²

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Dipti Singh 6 years, 11 months ago

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