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dmitriy555 [2]
1 year ago
6

The measure of central angle QRS is 8pi/9 radians. What is the area of the shaded sector?

Mathematics
1 answer:
Lapatulllka [165]1 year ago
5 0

The area of the shaded sector must be 144π units².

<h3>What is the area of the circle?</h3>

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = \pi r^{2}

We know that the angle measurement of central angle QRS is less than π radians.

for r = 18 units

The area of the circle = π18² = 324π  units²

The area of ​​the half of a circle = 324π /2 = 162π units²

The area of ​​a quarter of a circle = 324π /4 = 81π  units²

so

The area of the shaded sector < 162π  units²

and

The area of the shaded sector > 81π  units²

Hence the answer must be 144π units²

Learn more about angles;

brainly.com/question/7116550

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