In OC, BD is a diameter with length of 24cm andACB = 60°. Calculate the area of the sector.(In terms of pie)

asked Jun 10, 2023 47.6k views

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by EwH

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From the image given,

$\begin{gathered} \theta=60^0\text{ (given)} \\ d=24\operatorname{cm}\text{ (given)} \\ r=(d)/(2)=(24)/(2)=12\operatorname{cm} \end{gathered}$

The area of the sector is given by;

$\begin{gathered} A=(\theta)/(360)*\pi r^2 \\ A=(60)/(360)*\pi*12^2 \\ A=(8640\pi)/(360) \\ A=24\pi \end{gathered}$

Therefore, the area of the sector in terms of pie is

$24\pi cm^2$

Gizgok answered Jun 15, 2023

4.3k points

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