### Video Transcript

The circle in the given figure has a radius π, and the angle of the sector is π. Write down an expression for the area of the circle. What fraction of the circle is the sector with central angle π? Write an expression for the area of the sector.

We know that the expression for the area of a circle with radius π is ππ squared. And we know that angles around a point sum to 360 degrees. To find the fraction of the circle a sector with central angle π is, weβre going to divide π by 360. Itβs π over 360.

Finally, we need to find an expression for the area of the sector. The fraction of the circle the sector is, is π over 360. So we need to find π over ~~360ths~~ [360] of the total area of ππ squared. In maths, we commonly interchange βofβ and the multiplication symbol.

So the expression for the area of the sector with central angle π is π over 360 multiplied by ππ squared.