Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of AB.


Answer:
We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us
10 pi/6 or 5 pi/3
Step-by-step explanation:
We can use the formula
[tex]2\pi \times r( \frac{x}{360} )[/tex]
to find the arc length where r is the radius.
and x is the arc measure.
Plug it in for the numbers
[tex]2\pi \times 5( \frac{60}{360} )[/tex]
Multiply 2 pi times 5=10 pi
[tex]10\pi( \frac{60}{360} )[/tex]
Simplify 60/360 to 1/6
[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]
Reduce it to
[tex] \frac{5\pi}{3} [/tex]