Question

Consider circle H with a 5 centimeter radius. If the length of major arc RST is

25
3
π, what is the measure of ∠RST?

Answer 1

`\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ r=5\\ s=(25\pi )/(3) \end{cases}\implies \cfrac{25\pi }{3}=5\theta \implies \cfrac{25\pi }{15}=\theta \implies \cfrac{5\pi }{3}=\theta`

Answer 2

30

Explanation: