How long is the arc intersected by a central angle of startfraction 5 pi over 3 endfraction radians in a circle with a radius of 2 ft? round your answer to the nearest tenth. use 3.14 for pi. 2.6 ft 7.0 ft 10.5 ft 31.4 ft

Respuesta :

The length of the arc will be 10.5 ft. The arc length is the measurement of how long an arc is.

What is an arc?

An arc is a smooth curve that links two locations. The arc length is the measurement of how long an arc is.

A graph arc is an ordered pair of neighboring vertices in a graph. An arc, in particular, is any piece of a circle's circumference.

The given data in the problem is;

r is the radius= 2 ft

s is the arc length=?

[tex]\rm \theta[/tex] is the angle in radian= [tex]\frac{5 \pi}{3}[/tex]

The arc of the circle is given by;

[tex]\rm s = r\theta \\\\ \rm s = 2\times\frac{5 \pi}{3} \\\\ \rm s = \frac{10 \pi}{3} \\\\ \rm s = =10.5 \ ft[/tex]

Hence the length of the arc will be 10.5 ft

To learn more about the arc refer to the link;

https://brainly.com/question/16765779

Answer:

C

Step-by-step explanation: