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Mathematics
Mensuration
Area of Circular Region and Circular Segment
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Multiple Choice
What is the area of a circle with a radius of 5 cm?
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$\pi imes 5$
$\pi imes 5^2$
$rac{1}{2} \pi imes 5^2$
$\pi imes 10^2$
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If the central angle is $60^\circ$ and the radius of the circle is 8 cm, what is the area of the corresponding circular segment?
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$rac{1}{6} \pi imes 8^2$
$rac{1}{3} \pi imes 8^2$
$rac{1}{6} \pi imes 64$
$\pi imes 64$
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What is the area of a circular segment if the circle's radius is 10 cm and the central angle is $90^\circ$?
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$rac{1}{4} \pi imes 100$
$rac{1}{2} \pi imes 100$
$rac{1}{8} \pi imes 100$
$rac{3}{4} \pi imes 100$
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A circle has a radius of 12 cm. If a sector with a central angle of $120^\circ$ is taken out, what is the area of the remaining part of the circle?
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$\pi imes 144 - rac{1}{3} \pi imes 144$
$\pi imes 144 - rac{1}{4} \pi imes 144$
$\pi imes 144 - rac{1}{6} \pi imes 144$
$\pi imes 144 - rac{1}{2} \pi imes 144$
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Calculate the area of a circular segment formed by a $45^\circ$ angle in a circle with a radius of 14 cm.
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$rac{1}{4} \pi imes 196$
$rac{1}{8} \pi imes 196$
$rac{1}{6} \pi imes 196$
$rac{1}{12} \pi imes 196$
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