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Otrada [13]
3 years ago
11

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

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer: A) 7.26\ in^2

Step-by-step explanation:

From the given figure, Diameter of circle = 4.3 in.

Radius of the circle = \frac{4.3}{2}\ in.

Central angle = Measure of arc = \theta=180^{\circ}

The area of sector of a circle is given by :-

\text{Area of sector}=\frac{\theta}{360^{\circ}}\times\pi r^2\\\\\Rightarrow\text{Area of sector}=\frac{180^{\circ}}{360^{\circ}}\times(3.14)(\frac{4.3}{2})^2\\\\\Rightarrow\text{Area of sector}=\frac{1}{2}(3.14)(\frac{18.49}{4}\\\\\Rightarrow\text{Area of sector}=7.257325\approx7.26\ in^2

Hence, the approximate area of the shaded sector in the circle  = 7.26\ in^2

lara [203]3 years ago
4 0
A is the answer:)))))))))))))))))))))))
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