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CBSE Class 10 Basic Math 2026 All Sets Solved Paper

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Question : 9 of 20
Marks: +1, -0
An arc of length 11 cm subtends an angle of 105∘105^{\circ} at the centre of the circle. The radius of the circle is :
Solution:  
Given:
Arc length = 11 cm
θ=105∘\theta = 105^{\circ}
Arc length =   θ360∘×2πr\; \frac{\theta}{360^{\circ}} \times 2 \pi r
11=  105360×2πr11 = \; \frac{105}{360} \times 2 \pi r
11=  724×2πr11 = \; \frac{7}{24} \times 2\pi r
11=  712πr11 = \; \frac{7}{12} \pi r
r=  11×127πr = \; \frac{11 \times 12}{7\pi}
r=  13222r = \; \frac{132}{22}
r=6 cmr = 6\, \text{cm}
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