Question

An angle measures 51 degrees. Through what fraction of a circle does the angle turn? (Try the Math Quill using Delimiters to type your answer.)

Answer 1

Answer:

$\frac{17}{120}$

Step-by-step explanation:

Given: An angle measures 51 degrees

To find: fraction of a circle by which the angle turn

Solution:

Angle at the centre in a circle is equal to one complete angle i.e., $360^{\circ}$

Measure of an angle $=51^{\circ}$

Therefore,

Fraction of a circle by which the angle turn = Measure of an angle/ Angle at the centre in a circle $\frac{51^{\circ}}{360^{\circ}}=\frac{17}{120}$