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If the area of the red circles is 20 pi. What is the area of the yellow region?

 

 Dec 20, 2019

Best Answer 

 #1
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There are 5 red circles and the total area is 20 pi

the area of ONE circle is 1/5 of 20 pi = 4 pi

 area of a circle = pi r^2       area/pi = r ^2     so r = 2

The square is thus 12 x 12 = 144 sq units

Subtract the area of all NINE circles to find the yellow area

       144 - 9 (pi)(2^2)=yellow

 Dec 20, 2019
edited by ElectricPavlov  Dec 20, 2019
 #1
avatar+19789 
0
Best Answer

There are 5 red circles and the total area is 20 pi

the area of ONE circle is 1/5 of 20 pi = 4 pi

 area of a circle = pi r^2       area/pi = r ^2     so r = 2

The square is thus 12 x 12 = 144 sq units

Subtract the area of all NINE circles to find the yellow area

       144 - 9 (pi)(2^2)=yellow

ElectricPavlov Dec 20, 2019
edited by ElectricPavlov  Dec 20, 2019
 #2
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As for 5 red circles the total area is 20 and since there are 5 which makes the area 1/5 for 1 cirlce.

 area of a circle = pi r^2       area/pi = r ^2     so r = 2, Square is thus 12 x 12 = 144 sq units and then subtract the area of all NINE circles to find the yellow area which would be 144 - 9 (pi)(2^2), so by using this you'll find the value for yellow.

Furthermore if you want to do it by yourself then use this online area calculator but the problem is that it doesn't solve the equation step by step.

 Dec 20, 2019

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