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