Question

In a circle of radium 25 inches, a central angle of 35 will intersect the circle forming an arc of length___.

a. 15.27 feet
b. 1.17 feet
c. 15. 27 feet
d. 875 feet

Answer 1

The length of the arc is 15.271 inches.

Step-by-step explanation:

The length of an arc in a circle can be found using the formula:

arc length = (angle in radians) x (radius)

Given that the radius is 25 inches and the central angle is 35 degrees, we need to convert the angle to radians:

35 degrees x (pi/180) = 0.610865 radians

Now, we can calculate the arc length:

arc length = 0.610865 x 25 = 15.271 inches