Question

A circle has a central angle of 45 degrees. Find the fraction of the circle that this angle represents.

A) 1/8
B) 1/4
C) 1/6
D) 1/2

Answer 1

The fraction of the circle that a 45-degree central angle represents is 1/8, corresponding to option A.

Step-by-step explanation:

The correct answer is option A which is 1/8.

A circle consists of 360 degrees. To find the fraction of the circle that a 45-degree angle represents, we need to divide the angle by the total number of degrees in a circle:

Fraction = Angle / Total degrees = 45 / 360 = 1/8

A circle is composed of 360 degrees. Therefore, to find the fraction of the circle represented by a 45-degree central angle, you divide the angle by the total number of degrees in a circle. Performing the calculation 45÷360, you get ⅔, which simplifies to 1/8. This means that a 45-degree angle corresponds to one eighth of the entire circle.