Question

A student measures an angle that turns through 29/360 of a circle. The student says the angle measures 29°. Is the student correct or incorrect and why?

Answer 1

• the student is correct
• 29/360 of 360° is 29°

Explanation:

As with any fraction, to find the quantity represented by the fraction, multiply the fraction by the quantity represented by the whole.

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A whole circle is defined as 360°, so 29/360 of a circle will be ...

(29/360)×360° = 29°

The student is correct that 29/360 of a circle is an angle of 29°.