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

Question

Mathematics

Claudia Barron

20 March, 12:45

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

+4

Answers (1)

Know the Answer?

Claire Hurst · Answer 1

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.

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 feetB.) 4.88 feetC.) 6.98 feetD.) 11.78 feet

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