Question

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius r Arc Length s 19 feet 7 feet

Answer 1

Answer:

The radian measure of the central angle of the given circle is $\frac{7}{19} rad$

Step-by-step explanation:

The radian measure of the central angle θ of a circle of radius r that intercepts an arc of length s can be calculated from the formula given below

s =rθ

where s is the length of arc

r is radius of the circle

and θ is the central angle in rad (radian)

From s = rθ, Then

θ = s / r

From the question,

Radius r = 19 feet

and Arc length s = 7 feet

Hence,

θ = s / r becomes

θ = 7 / 19

∴ θ $= \frac{7}{19} rad$

This means the radian measure of the central angle of the given circle is $\frac{7}{19} rad$