Area of a sector

Using the same reasoning about radians we can also work out the area of any sector of a circle.

Example

Work out the area of the shaded area

Area of a whole circle`=pir^2`

                                      `=pitimes13^2` `cm^2`                                            

Logic progresses as follows:

`360^@=pitimes13^2` `cm^2`

`150^@=x` `cm^2` 

Answer:

The area of the segment is approximately `221` `cm^2`