If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°? A) π B) 11π C) 5π D) 11/45π,

Mathematics · High School · Tue Nov 03 2020

Answered on

Given:

Radius = 10 feet

Determine how long is the arc subtended by an angle measuring 81 degrees

Formula for the arc length of a circle:

Arc length = 2πr (θ/360)

Solution:

Substitute the values of r and angle to the formula for the arc length of the cirlce.

Arc length = 2πr (θ/360)

Arc length = 2π(10) (81 degrees/360)

Arc length = 20π(0.225)

Arc length = 14.14 feet

Final answer:

Arc length = 14.14 feet