If a sector of a circle has an area of 40\pi sq. units and a central angle of 72°, the radius of the circle is:... | MCQ 1m | Maths | SuperPadhai

Areas Related To Circles > Question

MCQ1 markYear: 2025EasyCBSE Class 10

areas-related-to-circlessector-area

Question

If a sector of a circle has an area of

40 π

sq. units and a central angle of

72°

, the radius of the circle is:

Solution

1

Area of sector

= \frac{θ}{360°} \times π r^{2}

. So

40 π = \frac{72}{360} \times π r^{2} \Rightarrow 40 = \frac{1}{5} r^{2} \Rightarrow r^{2} = 200 \Rightarrow r = 102

units.

+1 mark

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