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Find the radius of the circle, if any arc length 10 cm subtend

Question

Find the radius of the circle, if any arc length $10 c m$ subtends an angle of $6 0^{\circ}$ at the centre of the circle.

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Find the radius of the circle, if any arc length

10 c m

subtends an angle of

6 0^{\circ}

at the centre of the circle.

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

We know that

θ = \frac{arc length}{radius}

∴

radius

= \frac{arc length}{θ}

= \frac{10}{6 0 ^{\circ}} = \frac{10}{π /3}

\left [\because\ 60^{\circ} = \dfrac{\pi}{3} \right ]

= \frac{10 \times 3}{π} = \frac{30}{π} c m

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Question Text	Find the radius of the circle, if any arc length $10 c m$ subtends an angle of $6 0^{\circ}$ at the centre of the circle.
Answer Type	Text solution:1
Upvotes	150