In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians
What is the arc length?
Use 3.14 for a and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.

Question:

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 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.

Solution:

Given that,

Radius of circle = 12.6 feet

Central angle = radians

To find: Arc length

The arc length of a circle of radius "r" when central angle given in radians is:

Where,

s is the arc length

r is the radius

is the central angle in radians

Substituting the values we get,

Thus, arc length is 11.30 feet