Question

How long is the arc intercepted by two pi over 3 rad central angle in a circle with radius 7 feet

Answer 1

Answer:

4.67 ft

Step-by-step explanation:

An arc is simply a portion of the circumference of a circle.

To find the length of an arc, we simply need to apply the formula:

$L = \frac{\alpha }{360} * 2\pi r$

where α = angle subtended by the arc = $\frac{2\pi }{3}$ rads = $\frac{2\pi }{3} * \frac{180}{\pi }$ degrees = 38.2°

r = radius of the circle = 7 ft

Hence, the length of the arc is:

$L = \frac{38.2}{360} * 2*\pi *7$

$L = 4.67 ft$

The length of the arc is 4.67 ft