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

Given,

• Length of the arc = l = 37.4 cm

`\small\bold{ Central \: angle = θ = 60° = (60π)/(180) radian = (π)/(3) radians}`

We know that,

`\small\bold{r = (l)/(θ )}`

`\small\bold{ = (37.4) * ((π)/(3))}`

`\small\bold{= ( (37.4))/([(22)/(7)* 3]) }`

`\small\bold{= 35.7 cm }`

Hence, the radius of the circle is 35.7 cm.