Mathematics: What is the approximate area of the shaded sector in the circle shown below? a. 20.36 cm² b. 5.09 cm² c. 2.83 cm² d. 5.65 cm²

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What is the approximate area of the shaded sector

Ответ:

joe1591

14.01.2022

Mathematics

B. $5.09\ cm^2$

Step-by-step explanation:

From the given figure it can be seen that half of the circle (sector with $180^{\circ}$ is the semicircle ) is shaded, therefore, the area of the shaded region is given by :-

$\text{Area of the shaded region}=\frac{1}{2}\text{Area of the circle}$

Also, the radius of the circle = $\frac{3.6}{2}1.8\ cm$

Now, the area of the shaded sector in the circle is given by :-

$\text{Area of the shaded region}=\frac{1}{2}\pir^2\\\\\Rightarrow\text{Area of the shaded region}=\frac{1}{2}(3.14)(1.8)^2\\\\\Rightarrow\text{Area of the shaded region}=5.0868\approx5.09\ cm^2$

Hence, the approximate area of the shaded sector in the circle= $5.09\ cm^2$

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What is the approximate area of the shaded sector in the circle shown below?

a. 20.36 cm²
b. 5.09 cm²
c. 2.83 cm²
d. 5.65 cm²

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