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The diameter of a circle is 8 centimeters. a central angle of the circle intercepts an arc of 12 centimeters. what is the radian measure of the central angle?

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Lanuel

Based on the calculations, the radian measure of the central angle is equal to 3 radians.

Given the following data:

Arc length = 12 centimeters.

Diameter = 8 centimeters.

Radius = diameter/2 = 8/2 = 4 centimeters.

How to calculate the length of the arc?

Mathematically, the length of an arc formed by a circle can be calculated by using this formula:

S = rθ

Where:

  • r is the radius of a circle.
  • θ is the angle measured in radians.
  • S is the length of an arc.

Substituting the given parameters into the formula, we have:

12 = 4θ

θ = 12/4

θ = 3 radians.

Read more on arc length here: https://brainly.com/question/20594692

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