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Citrus2011 [14]
2 years ago
6

A circle has a sector with area 33 pi and central angle of 11/6 pi radians. What is the area of the circle?

Mathematics
2 answers:
MArishka [77]2 years ago
5 0

Answer:

Step-by-step explanation:

Area of the sector =

[pi*r^2*11*pi/6]/360=pi^2*r^2*11/6*360=pi*r^2*11*180/2160=33 pi

r^2=71280/11*pi=6480/pi=6480/180=36

Area of the circle=pi*r^2=36 pi

frosja888 [35]2 years ago
4 0

Answer:

The area of the circle is 36\pi\ units^{2}

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of 2\pi radians

so

By proportion find the area of the circle

\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}

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irina1246 [14]

Answer:

Part 1) The area of the figure is A=48\ cm^2

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Step-by-step explanation:

Part 1) Find the area of the figure

we know that

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Part 2) Find the perimeter of the figure

we know that

The perimeter of the figure is equal to two times the length side of the square, plus the circumference of six semicircles ( or the circumference of three circles)

Remember that

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In this problem

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simplify

P=4(2+3\pi)\ cm

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2 years ago
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Step-by-step explanation:

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2 years ago
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Answer:

Step-by-step explanation:

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