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.

The radius of circle is 10 inches

Solution:

The formula given is:

From given question,

Arc length = s = 32 inches

central angle =

We know that value of

To find: radius of circle

Substituting the values in formula, we get

Thus radius of circle is 10 inches

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh