Question

The circle below is made up of nine parts that are all the same size, Vincent marks the angle in one part of the circle as shown. Complete the statements to show the connection between the fraction of Vincent's circle marked by the angle and the angle measure. The measure of the angle turns through 2 of the circle. The angle measure can be found using the expression Х

Answer 1

Since the circle is divided into 9 equal parts, this will serve as our denominator. Each slice is 1/9 of the circle.

Since Vincent marked two parts of the circle, that measures 2/9 of the circle.

We know that one whole circle is one revolution and that is 360 degrees.

Hence, to measure the marked angle, we can use the expression:

$\frac{2}{9}\times360$