Question

In a circle with a radius of 6ft,an arc is intercepted by a central angle of 3π/2 radians.

What is the length of the arc?

2πft
3πft
6πft
9πft

Answer 1

9 is the correct answer

Answer 2

`\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta = (3\pi )/(2) \end{cases}\implies s=6\cdot \cfrac{3\pi }{2}\implies s=9\pi`