An arc on a circle of radius 10 has an arc length of 49/9 . What is the degree measure of the corresponding central angle?

Question

asked Dec 14, 2022 115k views

2 Answers

Roy Mathew · Answer 1 · 2022-12-16T18:53:58+0000

Answer:

Central angle = 98 degrees

Explanation:

Radius (r) = 10 Arc length = 49
$\pi$ /9

Let 0 be the central angle

Arc Length = 2
$\pi$ r0/360

49
$\pi$ /9 = 2
$\pi$ r0/360

49
$\pi$ /9 =
$\pi$ x0/18

49
$\pi$ /9 x 18/
$\pi$ = 0

0 = 49x2

0 = 98 degrees