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

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

the answer is the option B

Step-by-step explanation:

we know that

The area of a circle is equal to

we have

substitute

Remember that

subtends the complete circle of area

so

by proportion

find the area of the shaded sector for a central angle of

Round to the nearest square centimeter

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.