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
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.