Question

What is the length of an arc with a central angle of 23π radians and a radius of 24 cm?

Use 3.14 for pi. Round to the nearest hundredth, if necessary.
Enter your answer as a decimal in the box.

cm

Answer 1

50.24

Explanation:

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Answer 2

We can solve for the arc length using the formula shown below:
Arc Lenght = 2pi*r(central angle/360)

We need to convert the central angle such as:
Central angle = 23pi rad * (180°/pi rad) = 23*180
Radius = 24cm

Solving for arc length:
Arc length = 2*3.14 *24*(23*180/360)
Arc length = 1733.28 cm