Question

Given: The circle below. Which is closest to the of the shaded sector (the larger portion) of th given circle. Round to the nearest whole numb 1056 in 2 44 in2 88 in2 264 in2

Answer 1

the radius of the circle is r = 12 in

the area of the circle is,

$\pi\times r^2=\frac{22}{7}\times12^2$$=\frac{22}{7}\times12\times12$

we know that the point angle of the circle is 360 degrees

so,

total area is representing 360 degrees

so,

the area of the shaded sector is,

$=\frac{\frac{22}{7}\times12\times12}{360}\times210$$=264in^2$

thus, the correct answer is option D