contestada

A circle has a radius of 17 in. Find the length s of the arc intercepted by a central angle of 0.7 radians.

Round your answer to the nearest tenth .

A circle has a radius of 17 in Find the length s of the arc intercepted by a central angle of 07 radians Round your answer to the nearest tenth class=

Respuesta :

Given:

The radius of the circle is 17 in.

Central angle of intercepted arc is 0.7 radians.

To find:

The length s of the intercepted arc.

Solution:

The formula for the length of intercepted arc is:

[tex]s=r\theta[/tex]

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in radians.

Substituting [tex]r=17,\ \theta =0.7[/tex] in the above formula, we get

[tex]s=17\times 0.7[/tex]

[tex]s=11.9[/tex]

Therefore, the length of the intercepted arc is 11.9 inches.