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lana [24]
3 years ago
7

A circle has a sector with area 27\pi27π27, pi and central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, e

nd color #9d38bd. What is the area of the circle?
Mathematics
2 answers:
Korolek [52]3 years ago
5 0

Answer:

The answer: 81π

expeople1 [14]3 years ago
3 0

Answer:

The radius of the circle is 9 units.

Step-by-step explanation:

To calculate the area of the circle we need to find it's radius, since we have the area of the sector and it's angle, therefore we can calculate the radius by using the following formula:

sector area = (central angle)*pi*r²/360

27pi = 120*pi*r²/360

27pi = pi*r²/3

27 = r²/3

r² = 81

r = sqrt(81) = 9

The radius of the circle is 9 units.

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Step-by-step explanation:

When faced with a system of equations problem, you need to find one variable at a time. To do this, you need to eliminate one of the variables from one of the equations. I used x + y = 8 because that was simplier to find one of the variables from. From there, you can substitute that in for the variabel in the secone equation.

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