Question

An arc in a circle with a radius of 4 inches is subtended by a central angle that measures 110°.

Answer 1

circumference = 2*PI*radius
circumference = 25.1327 inches

110 / 360 = 0.30555

arc length = 0.30555 * 25.1327 inches

arc length = 7.6793 inches

Answer 2

Arc length = 7.675 inches.

Explanation:

Given : radius of circle is 4 inches subtended by a central angle that measures 110°.

To find : An arc in a circle.

Solution : Radius = 4 inches .

Central angle = 110

Arc = 2 pi * radius
`((central\ angle)/(360))`.

Plugging the values

Arc length = 2 * 3.15 * 4
`((110)/(360))`.

Arc length = 7.675 inches.

Therefore, Arc length = 7.675 inches.