The area of sector of a circle of radius 12 cm is 60\pi cm^2. The central angle of this sector is:... | MCQ 1m | Maths | SuperPadhai

Areas Related To Circles > Question

MCQ1 markYear: 2024EasyCBSE Class 10

areas-related-to-circlessectorcentral-angle

Question

The area of sector of a circle of radius

12

cm is

60 π

cm

^{2}

. The central angle of this sector is:

Solution

1

Area of sector

= \frac{θ}{360} \times π r^{2} \Rightarrow 60 π = \frac{θ}{360} \times 144 π \Rightarrow θ = \frac{60 \times 360}{144} = 150°

+1 mark

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