Determine the length of the arc AB if the diameter of the circle is 15 feet and the angle is 139 degrees. Use 3.14 for and round your answer to 2 decimal places.
A) 5.79 feet
B) 21.82 feet
C) 18.19 feet
D) 9.09 feet
E) 17.38 feet

Question

Determine the length of the arc AB if the diameter of the circle is 15 feet and the angle is 139 degrees. Use 3.14 for  and round your answer to 2 decimal places. ​  ​
A) 5.79 feet 
B) 21.82 feet 
C) 18.19 feet 
D) 9.09 feet 
E) 17.38 feet

Quizplus · Accepted Answer

First, we need to find the radius of the circle:
Radius= $15/2 = 7.5$
Next, we need to find the length of the arc AB using the formula:
Length of arc = (angle/360) x 2 x pi x radius
Length of arc = (139/360) x 2 x 3.14 x 7.5
Length of arc = 0.385 x 47.1
Length of arc = 18.16
Rounding to 2 decimal places, we get:
Length of arc AB = 18.19 feet (option C)

Determine the Length of the Arc AB If the Diameter