What is the approximate measure, in degrees, of the central angle of the circle whose radius is 15 m and arc length is 10 m?

Question

asked Nov 27, 2020 209k views

1 Answer

Mgarg · Answer 1 · 2020-12-03T00:56:16+0000

Answer:

$38.2\°$

Explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=15\ m$

substitute

$C=2\pi (15)=30\pi\ m$

Remember that

360 degrees subtends the complete circle of length
$30\pi\ m$

so

by proportion

Find the approximate measure, in degrees, of the central angle of the circle whose radius is 15 m and arc length is 10 m

so

$(360)/(30\pi)=(x)/(10)\\ \\x=360*10/(30\pi)\\ \\x=38.2\°$