The measure of central angle abc is radians. what is the area of the shaded sector? 6 9 18 36

Asked by maham237 @ 19/12/2020 in Mathematics viewed by 389 People

Answered by maham237 @ 19/12/2020

$r=6\,\text{units}\qquad \qquad m\angle\text{ABC}=\dfrac{\pi}{2}\,\text{radians}\\\\\\
A=\dfrac{1}{2}\cdot m\angle\text{ABC}\cdot r^2=\dfrac{1}{2}\cdot\dfrac{\pi}{2}\cdot6^2=\dfrac{\pi}{4}\cdot36=9\pi\,\,\text{units}^2$

Answer B.

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