Question

Which is smaller: an angle showing a turn through 1/8 of a circle or an angle showing a turn through 1/3 of a circle? Explain your answer.

Answer 1

1/8 is smaller because it equals 45 degrees

1/3 is bigger because it equals 120 degees

Answer 2

An angle showing a turn through 1/8 of a circle is smaller

Explanation:

we know that

A complete circle represent 360°

so

An angle showing a turn through 1/8 of a circle is

`(360\°)*((1)/(8))=45\°`

An angle showing a turn through 1/3 of a circle is

`(360\°)*((1)/(3))=120\°`

therefore

An angle showing a turn through 1/8 of a circle is smaller