Find the area of the minor segment of a circle of radius 42cm if length of the corresponding Arc is 44cm

Asked by shreeniketh1giis | 22nd Jan, 2019, 02:03: PM

Expert Answer:

Arc length subtended by angle θ = begin mathsize 12px style theta over 360 cross times 2 πr space equals space straight theta over 360 cross times 2 straight pi cross times 42 space equals space 44 end style cm
hence angle θ = begin mathsize 12px style fraction numerator 44 cross times 360 over denominator 2 straight pi cross times 42 end fraction space equals space 10 degree end style
Area of minor segment = begin mathsize 12px style theta over 360 cross times πr squared space equals space 10 over 360 cross times straight pi cross times 42 cross times 42 space equals space 154 space cm squared end style

Answered by Thiyagarajan K | 22nd Jan, 2019, 02:44: PM

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