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  4. The radius of the circle whose arc of length 15 cm makes an angle of (3/4) radian at the centre, is

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Q. The radius of the circle whose arc of length $15\, cm$ makes an angle of $\frac{3}{4}$ radian at the centre, is

ManipalManipal 2019

Solution:

Given that, $\operatorname{arc}=15 cm$.
image
$\theta=\frac{3}{4}$ radian
We know that, Angle $=\frac{\text { Arc }}{\text { Radius }}$
$\Rightarrow \text { Radius }=\frac{\text { Arc }}{\text { Angle }}=\frac{15 \times 4}{3}=20\, cm$