Answered

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how do I solve this .... the arc of the circle is π/6, and the central angle is 2π/3 find the radius
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Sagot :

regalmocha17

Answer: The radius is 1/4 units.

Work:

To solve for the radius when given an arc and a central angle, we can use the formula for arc length.

s = rθ

Where:

s = arc length

r = radius

θ = central angle

Since we already have the arc length and central angle, we can rearrange the equation to solve for the radius.

It becomes:

s/θ = r

Substitute our values in and solve.

(π/6)/(2π/3) = r

r = 1/4 units

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