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A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 60^\circ60 ∘ 60, degrees. What is the length of the arc?

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abidemiokin

Answer:

3.142units

Step-by-step explanation:

The formula for calculating the length of an arc is as given below;

Length of an arc = theta/369° × 2πr where:

r is the radius of the circle

theta is the central angle

Given the data

r = 3, theta = 60°

Length of an arc = 60/360 × 2π(3)

Length of an arc = 1/6× 6π

Length of an arc = π units

Length of an arc = 3.142units

Lanuel

Since the radius of this circle is 3 units, the length of the arc formed is equal to 3.14 or π units.

Given the following data:

  • Radius = 6 units.
  • Central angle = 60°.

How to calculate the length of the arc?

In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.

Mathematically, the length of an arc formed by a circle is given by:

Arc length = 2πr × θ/360

Arc length = 2π(3) × 60/360

Arc length = 6π × 1/6

Arc length = 6π/6

Arc length = π units.

Read more on circumference here: brainly.com/question/14478195

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