Question

question 4 of 10
in a circle of radius 25 inches, a central angle of 35° will intersect the circle
forming an arc of length ____.

a. 15.27 inches
b. 15.27 feet
c. 875 inches
d. 1.17 feet

Explanation:

Step1: Recall the arc length formula

The formula for the length of an arc \( s \) of a circle with radius \( r \) and central angle \( \theta \) (in degrees) is \( s=\frac{\theta}{360^\circ}\times2\pi r \). Here, \( r = 25 \) inches and \( \theta=35^\circ \).

Step2: Substitute the values into the formula

Substitute \( r = 25 \) and \( \theta = 35^\circ \) into the formula:

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The units are inches since the radius was given in inches.

Answer:

A. 15.27 inches