Question

In circle H with m/GHJ = 66 and GH = 10 units, find the length of arc GJ.

Round to the nearest hundredth.
G
H

Answer 1

Answer: GJ is 2.89 units.

Explanation:

J

We use the formula for the length of an arc of a circle:

Length of arc = (central angle/360 degrees) x 2πr

In this case, the central angle is m/GHJ = 66 degrees, and the radius of the circle is half the diameter GH = 5 units.

So,

Length of arc GJ = (66/360) x 2π(5)

Length of arc GJ = (11/60)π(5)

Length of arc GJ ≈ 2.89 units

Rounded to the nearest hundredth, the length of arc GJ is 2.89 units.