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forsale [732]
3 years ago
10

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

Mathematics
2 answers:
vova2212 [387]3 years ago
8 0
Thank you for posting your question here at brainly. Feel free to ask more questions. 
<span>
The best and most correct answer among the choices provided by the question is </span> <span>B. 5.09 cm²</span><span>.
</span>

<span>
Hope my answer would be a great help for you.  </span>
valina [46]3 years ago
5 0

Answer: B. 5.09\ cm^2

Step-by-step explanation:

From the given figure it can be seen that half of the circle (sector with180^{\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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