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Question

Area of sector of a central angle 200 of a circle is 770cm2. Find the length of corresponding arc of this sector.
1489986_e5396be2294b4ff489ac221967661d37.png

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Solution

In the given sector,
θ=2000,A=770cm2 I=?

A=πr2θ3600

r2=A×3600πθ=770×3600×722×2000r2=441r=21cm

r=21cm

Now, lenght of arc I=2πrθ3600

=2×227×21×20003600=2203cm=7313cm

Hence, the required lenght of arc =7313 cm

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