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Reil [10]
3 years ago
10

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

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Given:

Central angle = \dfrac{\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\times \dfrac{\pi}{4}

6=\pi r

\dfrac{6}{\pi}=r

\dfrac{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.

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