A 22.5-degree bend represents which fraction of a circle?

A 22.5-degree bend represents which fraction of a circle?

• A. 1/32
• B. 1/16
• C. 1/8
• D. 1/4

Answer: (B)

A full circle is 360 degrees, so the fraction a given angle represents is angle divided by 360. For 22.5 degrees, 22.5 ÷ 360 = 0.0625, which equals 1/16. So 22.5 degrees is one-sixteenth of a circle. This also aligns with the idea that 45 degrees is 1/8 of a circle, and 22.5 is half of that, hence 1/16. The other fractions correspond to 11.25 degrees (1/32), 90 degrees (1/4), and 45 degrees (1/8), which don’t match 22.5 degrees.

A full circle is 360 degrees, so the fraction a given angle represents is angle divided by 360. For 22.5 degrees, 22.5 ÷ 360 = 0.0625, which equals 1/16. So 22.5 degrees is one-sixteenth of a circle. This also aligns with the idea that 45 degrees is 1/8 of a circle, and 22.5 is half of that, hence 1/16. The other fractions correspond to 11.25 degrees (1/32), 90 degrees (1/4), and 45 degrees (1/8), which don’t match 22.5 degrees.