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

Verified Answer :

circumference = 2PIradius
circumference =



25.1327



inches

110 / 360 =



0.30555

arc length = 0.30555 *
25.1327



inches

arc length =



7.6793 inches


Answer:

Arc length = 7.675 inches.

Step-by-step 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 \((\frac{central\ angle}{360})\).

Plugging the values

Arc length = 2 3.15 * 4 \((\frac{110}{360})\).

Arc length = 7.675 inches.

Therefore, Arc length = 7.675 inches.