Area of a sector

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The area of a circle = \(\pi {r^2}\).

The formula used to calculate the area of a sector of a circle is:

\(Area\,of\,a\,sector = \frac{{Angle}}{{360^\circ }} \times \pi {r^2}\)

Calculate the area of the sector shown in the diagram.

Area of sector:

\(= \frac{{Angle}}{{360^\circ }} \times \pi {r^2}\)

\(= \frac{{144}}{{360}} \times \pi \times {3^2}\)

\(= 11.309...\)

\(= 11.31cm^{2}\)