Question

A circle has a circumference of 6. It has an arc of length 1.

What is the central angle of the arc. in degrees?

Answer 1

60°

Explanation:

Given that:

• Circumference (C) = 6 units
• Arc length (A) = 1 unit

Find the central angle (θ)

Arc is some part of circumference; thus,

the equation of arc length =

A = θ/360 × C

θ/360 = A/C

θ = (360×A)/C

θ = (360×1)/6

θ = 360 ÷ 6

θ = 60° ✅

Central angle = 60°

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