Question

In a circle, a central angle of 2 radians intercepts an arc of 6 centimeters.

Find the length of the radius in centimeters.

Answer 1

3 cm

Explanation:

To solve this problem, we can use the Arc Length Formula. This states that s = r ·
`\bf \theta`, where s = arc length, r = radius, and
`\theta` is the measure of the central angle (in radians).

From the problem, we are given that s = 6 cm,
`\theta` = 2, and we need to solve for r. Substituting these values into the equation gives us the following:

6 = r · 2

Solving the equation gives us r = 3 cm. Hope this helps!