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

`(17)/(120)`

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
`(51^(\circ))/(360^(\circ))=(17)/(120)`