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Let point C be on circle A. If ∠BAC 5 radians and segment BC is 12cm, what is the length of the radius

Let point C be on circle A. If ∠BAC 5 radians and segment BC is 12cm, what is the-example-1
User Hardi
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4.3k points

1 Answer

7 votes

Answer:

2.4 cm

Explanation:

The formula we would use

S = rθ

Where S = Arc length

θ = central angle in radians

r = radius of the circle or length of the radius.

From the question, we can see that if

If C = a point on circle A

The Segment BC = The arc length of the circle = 12cm

∠BAC = central angle in radians = 5 radians.

Since, S = rθ,

Length of the radius = S/θ

= 12cm/5 radians

Length of the radius = 2.4 cm

User Soo Wei Tan
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4.4k points