contestada

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.

Respuesta :

The radius of circle is 10 inches

Solution:

The formula given is:

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

Arc length = s = 32 inches

central angle = [tex]\theta = \pi[/tex]

We know that value of [tex]\pi = 3.14[/tex]

To find: radius of circle

Substituting the values in formula, we get

[tex]32 = r \times \pi\\\\32 = r \times 3.14\\\\r = \frac{32}{3.14}\\\\r = 10.19 \approx 10[/tex]

Thus radius of circle is 10 inches