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Mademuasel [1]
3 years ago
5

Find the area of the sector in terms of pi. 90° 24 Area = [?] Enter

Mathematics
1 answer:
disa [49]3 years ago
3 0

Step-by-step explanation:

area of a circle is r x r x pi

so one quarter of it us r x r x pi /4

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Answer:

(216-18 \pi) \text{ square units}

Step-by-step explanation:

First, calculate the area of the rectangle.

Here, length = 18 units and Width = 12 units

The formula for calculating the area of the rectangle is A=L \times B

A=18 \times 12\\=216 \text{ square units.}

The radius of the semi-circle is 6 units.

The formula for calculating the area of the semi-circle is A=\dfrac{\pi \times r^2}{2}.

A=\dfrac{\pi \times 6^2}{2}\\=\dfrac{36 \pi}{2}\\=18 \pi \text{ square units.}

The area of the shaded region is equal to the difference of area of the rectangle and area of the semi-circle.

\text{Required Shaded Area }=(216-18 \pi) \text{ square units}

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3 years ago
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Answer:

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