Question

To the nearest square centimeter, what is the area of the shaded sector in the circle shown below?

Answer 1

area of circle = pir^2

r = 12

3.14 x 12^2 = 452.16 sq cm

110/360 = 0.3055

0.3055 x 452.16 = 138.16 round off to 138 cm^2

 B is the answer

Answer 2

Answer:

the answer is the option B

$138\ cm^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=12\ cm$

substitute

$A=\pi (12)^{2}=144\pi\ cm^{2}$

Remember that

$360\°$ subtends the complete circle of area $144\pi\ cm^{2}$

so

by proportion

find the area of the shaded sector for a central angle of $110\°$

$\frac{144\pi }{360} \frac{cm^{2}}{degrees} =\frac{x}{110} \frac{cm^{2}}{degrees} \\ \\x=144\pi *110/360\\ \\x= 138.23\ cm^{2}$

Round to the nearest square centimeter

$x= 138\ cm^{2}$