Question

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?

Answer 1

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

Answer 2

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