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bulgar [2K]
2 years ago
14

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Mathematics
2 answers:
Aloiza [94]2 years ago
7 0
A full circle has a measure of 360 degree. the graph shows a 3/4 circle.
3/4 of π*6²=27π
27π is the answer.
bagirrra123 [75]2 years ago
5 0

Answer:

27\pi \ cm^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=6\ cm

substitute

A=\pi (6)^{2}=36 \pi\ cm^{2}

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

so

by proportion

Find the area of the circle for a central angle of 270\°

\frac{36 \pi}{360} \frac{\ cm^{2}}{degrees}=\frac{x}{270} \frac{\ cm^{2}}{degrees} \\ \\ x=270*36\pi /360\\ \\x=27\pi \ cm^{2}

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