The formula to find the arc length of a sector is given by:

Arc length = (central angle/360) * 2πr

where:
- central angle is the angle subtended by the arc at the center of the circle,
- r is the radius of the circle.

Given:
- central angle = 120°,
- r = 5 inches.

Substituting these values into the formula, we get:

Arc length = (120/360) * 2π * 5
Arc length = (1/3) * 2π * 5
Arc length = (2/3) * π * 5
Arc length = 10/3 * π
Arc length ≈ 10.47 inches.

So, the arc length of the sector is approximately 10.47 inches.

Question

The formula to find the arc length of a sector is given by:

Arc length = (central angle/360) * 2πr

where:
- central angle is the angle subtended by the arc at the center of the circle,
- r is the radius of the circle.

Given:
- central angle = 120°,
- r = 5 inches.

Substituting these values into the formula, we get:

Arc length = (120/360) * 2π * 5
Arc length = (1/3) * 2π * 5
Arc length = (2/3) * π * 5
Arc length = 10/3 * π
Arc length ≈ 10.47 inches.

So, the arc length of the sector is approximately 10.47 inches.

Knowee AI · Accepted Answer

The formula to find the arc length of a sector is given by:

Arc length = (central angle/360) * 2πr

where:
- central angle is the angle subtended by the arc at the center of the circle,
- r is the radius of the circle.

Given:
- central angle = 120°,
- r = 5 inches.

Substituting these values into the formula, we get:

Arc length = (120/360) * 2π * 5
Arc length = (1/3) * 2π * 5
Arc length = (2/3) * π * 5
Arc length = 10/3 * π
Arc length ≈ 10.47 inches.

So, the arc length of the sector is approximately 10.47 inches.

Find the arc length of a sector of a circle with a radius of 5 inches and a central angle of 120°.