Answer to Question #158153 in Geometry for Briell

Question

Using the formula for the length of the arc, compute s, r or θ which ever is missing.

a. s = 6π r = 8

b. s = 10π r = 8

Answer 1

$$s=r\theta$$ $$\theta=\dfrac{s}{r}$$

a. $s=6\pi, r=8$

$$\theta=\dfrac{6\pi}{8}=\dfrac{3\pi}{4}$$

b. $s=10\pi, r=8$

$$\theta=\dfrac{10\pi}{8}=\dfrac{5\pi}{4}$$