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

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

User DominikM
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1 Answer

11 votes

Answer: 60 degrees

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Step-by-step explanation:

The circumference is the perimeter of the circle. It's the distance around the circle's edge. Think of it like a fence.

The full circle's perimeter is 6 units. The arc length is a piece of that and it's 1 unit.

1/6 of the full perimeter is the arc length

1/6 of a full 360 degree rotation is (1/6)*360 = 360/6 = 60

The central angle of the arc is 60 degrees.

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If you want to use a formula, it would be


A = (L)/(C)*360

where,

A = central angle of the arc

L = arc length

C = circumference

You would plug in L = 1 and C = 6 to find that A = 60

User Agold
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