Question

In a circle with radius o.9, an angle intercepts an are of length 3.6. Find the angle inradians to the nearest 10th.

Answer 1

Given: a circle with radius 5 and arc length

`(10\pi)/(3)`

Find: angle in radians in simplest form.

Explanation:

`\begin{gathered} s=r\theta \\ (10\pi)/(3)=5\theta \\ \theta=(2\pi)/(3) \end{gathered}`

Final answer: the required answer is

`(2\pi)/(3)`