Question

How long is the arc intersected by a 2pi/3 radian central angle in a circle with radius 7 feet?

Answer 1

$=\frac{43.96}{3}$Formula to find the central angle is,

$s= r\theta$

Where, s = arc length

r = radius

$\theta$= central angle in radian.

According to the given problem,

r = 7 and $\theta = \frac{2\pi}{3}$.

First step is to plug in these values in the above formula. So,

$s= 7*\frac{2\pi}{3}$

$=\frac{14\pi}{3}$ By simplifying.

$=\frac{14*3.14}{3}$ Since $\pi =3.14$

$=\frac{14*3.14}{3}$

s=14.65

Hence, arc length iss 14.65 feet.

Answer 2

Answer:

14π/3 feet

Step-by-step explanation:

The next answer is 2.36 and the next is 21.24