Question

A circle has a radius of 6. An arc in this circle has a central angle of 330°What is the length of the arc?

Answer 1

Consider that the length of arc (L) of a circle with radius (R) and central angle (Θ) is given by the formula,

`L=(\theta)/(360)*2\pi R`

Given the radius as 6 units, and the central angle 330 degrees, the length of arc is calculated as,

`\begin{gathered} L=(330)/(360)*2\pi(6) \\ L=11\pi \\ L\approx34.55 \end{gathered}`

Thus, the length of the arc is 34.55 units approximately.