Question

If we divide a circle into equal angles using diameters, and the measurement of each angle is 12 degrees, how many such diameters have been drawn?

• A. 30
• B. 12
• C. 15
• D. 18

Answer 1

The correct option is C 15

To divide a circle (which is 360 degrees) into equal 12 degree angles, we must have $\frac{360}{12}$ parts = 30 parts

To draw 30 equal parts, we must make 15 equally spaced diameters.

Conversely,

15 equally spaced diameters will divide a circle into 30 equal parts

With 30 equal parts, each part will have a measure of $\frac{360}{30}$= 12 degrees