You so want that biggest piece of pie, but have been told you can only have it if you can calculate the angle of it.

That is so unfair. The things you have to do.

As ever there is a formula to do this.

As we are looking a part of a circle is involved of course.

A small gift is given to us. To find the area of a circle we use the formula Πr² or (π x r x r)

It makes sense to use this to help us find the angle of a sector.

Remember you can use the π button on your calculator or use the value 3.14

Example

The area of the dark blue sector of this pie chart is 25 cm²

The radius is 10 cm. Find the angle at the centre of this sector.

Angle = Area x 360 ÷ π x r x r

25 x 360 = 9000

3.14 x 10 x 10 = 314

9000 ÷ 314 = 28.7° correct to 1 decimal place

Just follow the steps of the formula carefully and you can't go wrong.

In the following activities 3.14 has been used as the value of π