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

Mathematics

2 answers:

ozzi2 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]2 years ago

4 0

A is the answer:)))))))))))))))))))))))

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