Question

A circle has a diameter of 8 cm. An angle in the center of the circle creates an arc AB. That angle's measure is pi/4 rad. What is the measure of arc AB

Answer 1

3.14 cm

Explanation:

From the question,

Applying

s = πdФ/360................... Equation 1

Where s = length of arc AB, d = diameter of the circle, Ф = angle at the center of the circle, π = pie

From the question,

Given: d = 8 cm, Ф = π/4 rad = 45°

Constant: π = 22/7

Substitute these values into equation 1

s = (22/7)(8)(45)/360

s = 3.14 cm.

Hence the lenght of arc AB = 3.14 cm