A 45-degree bend represents which fraction of a circle?

A 45-degree bend represents which fraction of a circle?

• A. 1/8
• B. 1/4
• C. 1/16
• D. 1/32

Answer: (A)

A circle is 360 degrees, so fractions of a circle correspond to dividing 360 by the number of parts. If you split the circle into eight equal parts, each part is 360 ÷ 8 = 45 degrees. Therefore, a 45-degree bend represents one part out of eight, i.e., one-eighth of the circle. The other options don’t fit: a quarter is 90 degrees (one-fourth), a sixteenth is 22.5 degrees, and a thirty-second is 11.25 degrees. Only 45 degrees matches 1/8 of a circle.

A circle is 360 degrees, so fractions of a circle correspond to dividing 360 by the number of parts. If you split the circle into eight equal parts, each part is 360 ÷ 8 = 45 degrees. Therefore, a 45-degree bend represents one part out of eight, i.e., one-eighth of the circle.

The other options don’t fit: a quarter is 90 degrees (one-fourth), a sixteenth is 22.5 degrees, and a thirty-second is 11.25 degrees. Only 45 degrees matches 1/8 of a circle.