In a circle with a radius of 2158 yd, an arc is intercepted by a central angle of 5π/6 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Question

Mathematics

Scarlet

30 March, 14:49

In a circle with a radius of 2158 yd, an arc is intercepted by a central angle of 5π/6 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

+3

Answers (1)

Know the Answer?

Choi · Answer 1

A circle is 2pi radians

find circumference

c=2pir

c=2pi2158

c=4316pi

arclength=x

x/4316pi = (5pi/6) / 2pi

x/4316pi=5pi/12pi

x/4316pi=5/12

times both sides by 4316pi

x=21580pi/12

x=5646.766666

round

5646.77 yd

In a circle with a radius of 2158 yd, an arc is intercepted by a central angle of 5π/6 radians.What is the arc length?Use 3.14 for π and round your final answer to the nearest hundredth.Enter your answer as a decimal in the box.

In a circle with a radius of 2158 yd, an arc is intercepted by a central angle of 5π/6 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.