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Help plz ! find the measure of the central angle of an arc with length 5pi units and radius of 4.5 units

User Fixxxer
by
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1 Answer

3 votes

Answer:

Angle of Arc θ = 200°

Explanation:

Given:

Length of arc = 5π

Radius of circle = 4.5 unit

Find:

Angle of Arc θ

Computation:

Using length of arc formula

Length of arc = [θ/360][2πr]

Putting value or length of arc and radius in given formula;

5π = [θ/360][(2)π(4.5)]

5π = [θ/360][9π]

5 = [θ/360][9]

5 = [θ/40]

θ = 40 x 5

θ = 200

Angle of Arc θ = 200°

User Sid Kwakkel
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6.8k points