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

Work out the area of this circles circumference using radians

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 $221$ $cm^2$