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
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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