Question

Given the arc length of a circle is 127π centimeters and the subtended angle is 60˚. Find the Circumference of the circle.

Answer 1

The circumference of the circle is 762π cm.

What is length of arc of a circle?

The length of arc a circle can is determined with the radius and central angle of the arc.

The radius of the circle is calculated as follows;

$L = \pi r \times \frac{ \theta }{180} \\\\ \pi r \theta = 180 L\\\\ \pi r = \frac{180 L}{\theta}$

The circumference of the circle is calculated as follows;

$C = 2\pi r\\\\ C = 2(\pi r)\\\\ C = 2(\frac{180 \ L}{\theta } )\\\\ C = 2(\frac{180 \times 127\pi}{60 } )\\\\ C = 762 \pi \ cm$

Learn more about circumference of a circle here: brainly.com/question/9782777