Question

The radius of a circle is 10 meters. What is the length of a 135° arc? Use (pi) 3.14. Round your answer to the nearest tenth.

a) 13.5 meters
b) 42.4 meters
c) 37.7 meters
d) 14.2 meters

Answer 1

The length of the 135° arc on a circle with a radius of 10 meters is approximately 23.6 meters.

Step-by-step explanation:

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

Length of arc = (angle / 360) * 2 * pi * radius

In this case, the angle is 135 degrees and the radius is 10 meters. Plugging in these values, we get:

Length of arc = (135 / 360) * 2 * 3.14 * 10 = 0.375 * 6.28 * 10 = 23.55 meters

Rounding this to the nearest tenth, the length of the arc is approximately 23.6 meters.