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Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in

User Kerem
by
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1 Answer

5 votes

Given:

Central angle =
(\pi)/(4)

Arc length = 1.5 in

To find:

The radius of the circle.

Solution:

We know that the formula for arc length is


s=r\theta

Where r is radius and
\theta is the central angle in radian.

Substitute the given values in the above formula.


1.5=r* (\pi)/(4)


6=\pi r


(6)/(\pi)=r


(6)/(3.14)=r

On further simplifiation, we get


r=1.910828


r\approx 1.91

Therefore, the radius of the circle is 1.91 in.

User Chris Mansley
by
6.6k points