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What is the arc length of arc CD in the circle below?

Circle A is shown with a radius labeled 6 feet and a central angle marked 30 degrees.


A.) 3.14 feet

B.) 4.88 feet

C.) 6.98 feet

D.) 11.78 feet

Verified Answer :

meerkat18

The length of the arc intercepted by a central angle is the ratio of the angle to 360 degrees times the circumference. From the given values above,
                            S = (30° / 360°) x 2 x π x (6 ft)
                                 S = π
The angle intercepted an arc which measures π feet. The answer is letter A.

abidemiokin

The length of the arc is expressed as 3.14fet

Length of an arc

The formula for calculating the length of an arc is expressed as:

  • L = rФ

Given the following parameter

  • r = 6ft
  • Ф = 30 = π/6

Substitute into the formula to have:

L = π/6(6)

L = 3.14 ft

Hence the length of the arc is expressed as 3.14fet

Learn more on length of an arc here: https://brainly.com/question/2005046

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