Question

An arc in a circle with a radius of 4 inches is subtended by a central angle that measures 110°. Explain how to find the arc length exactly, and then approximate the length to one decimal place.

Answer 1

the formula is

L = rC where L = length of the arc, r = radius of the circle and C is the angle in radians.

here r = 4 and C = 110pi / 180

arc length L = (4 * 110 * pi) / 180 = 7.7 ins

Answer 2

Explanation:

Alright, lets get started.

The angle is 110 degrees.

For plugging this angle in formula, we must change it from degree to radian.

110 degree will be :
`110*(\pi )/(180)`

So, 110 degree angle is : 1.9198 radians

The radius is 4 inches.

The formula is :
`s=r*theta`

s is arc

r is radius

theta is angle

`s=4*1.9198`

`s=7.67`

To one decimal place :

arc is 7.7 inches. : Answer

Hope it will help :)