Question

Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).​

Answer 1

Solution:

Given,

• Length of the arc = l = 37.4 cm

$\small\bold{ Central \: angle = θ = 60° = \frac{60π}{180} radian = \frac{π}{3} radians}$

We know that,

$\small\bold{r = \frac{l}{θ }}$

$\small\bold{ = (37.4) \times (\frac{π}{3})}$

$\small\bold{= \frac{ (37.4)}{[\frac{22}{7}\times 3]} }$

$\small\bold{= 35.7 cm }$

Hence, the radius of the circle is 35.7 cm.