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

Mathematics

1 answer:

Strike441 [17]3 years ago

4 0

Answer:

Correct option is B.

Step-by-step explanation:

Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.

$Radius=r=16 in.$

$Angle=\theta=110^{\circ}$

$Area of sector=}\frac{\theta}{360}\times\pi r^2$

$=\frac{110}{360}\times\frac{22}{7}\times(16)^2$

$=\frac{11}{36}\times \frac{22}{7}\times 16\times 16=245.841=246(approx.)$

∴ Area of sector is $246in^2$

Correct option is B.

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