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il63 [147K]
3 years ago
13

What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

Remember that the area of complete circle subtends a central angle of 360°

so

using proportion

Find the area of a sector formed by a central angle that measures 120°

81π/360°=x/120°

x=120°*81π/360°

x=27π cm²

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