Question

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

A) 7.26 in2
B) 13.51 in2
C) 29.04 in2
D) 6.75 in2

Answer 1

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

Answer 2

Answer: A)
`7.26\ in^2`

Explanation:

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

Radius of the circle =
`(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}=(\theta)/(360^(\circ))*\pi r^2\\\\\Rightarrow\text{Area of sector}=(180^(\circ))/(360^(\circ))*(3.14)((4.3)/(2))^2\\\\\Rightarrow\text{Area of sector}=(1)/(2)(3.14)((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`