Respuesta :

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:

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 [tex](\frac{central\ angle}{360})[/tex].

Plugging the values

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

Arc length = 7.675 inches.

Therefore, Arc length = 7.675 inches.