In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.

What is the arc length?

Use 3.14 for π

and round your final answer to the nearest hundredth.

Make sure to show your calculations.

Question

Mathematics

Colby Lee

8 February, 14:20

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.

What is the arc length?

Use 3.14 for π

and round your final answer to the nearest hundredth.

Make sure to show your calculations.

+4

Answers (1)

Know the Answer?

Sage Garner · Answer 1

360 degrees = 2 PI radians

Central angle = 1.8 PI radians

Central angle (degrees) = (1.8 / 2) * 360 = 324 degrees

circle circumference = 26.9 * 2 * PI = 169.0176847631

arc length = (324 / 360) * 169.0176847631

arc length =.9 * 169.0176847631

arc length = 152.1159162868 m

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.What is the arc length?Use 3.14 for πand round your final answer to the nearest hundredth.Make sure to show your calculations.

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.

What is the arc length?

Use 3.14 for π

and round your final answer to the nearest hundredth.

Make sure to show your calculations.