Question

using s=r theta, find the radius of a circle, to the nearest whole number, when the arc is 32 inches and the central angle is pi.

Answer 1

The radius of circle is 10 inches

Solution:

The formula given is:

`s = r \theta`
`\text{Where, r is the radius and } \theta \text{ is central angle in radians and s is the arc length}`From given question,

Arc length = s = 32 inches

central angle =
`\theta = \pi`

We know that value of
`\pi = 3.14`

To find: radius of circle

Substituting the values in formula, we get

`32 = r * \pi\\\\32 = r * 3.14\\\\r = (32)/(3.14)\\\\r = 10.19 \approx 10`

Thus radius of circle is 10 inches