Question

A circle has a radius of 3. An arc in this circle has a central angle of 60°.
What is the length of the arc?
Either enter an exact answer in terms of TT or use 3.14 for it and enter your answer as a decimal.

Answer 1

Answer:

The full circumference of the circle around all 360° is 2πr where r is the radius. Since r = 3, the full circumference is 2·π·3 = 6π units. 60° is only 60/360 = 1/6 of the way around the circle, so its arc length is 1/6 of the full circumference, or (1/6)·6π = π units.

Answer 2

Length of the arc is 3.14 units

What is an arc?

An arc is any smooth curve joining two points

What is arc length?

The length of an arc is known as its arc length

Radius of the circle = 3 units

Central angle =60 degrees

Arc length =s×θ

where θ is central angle in radians

Central angle =1.0472 radian

Arc length=3×1.0472=3.14 units

Hence, the arc length is 3.14 units

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