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How do you do this problem?

How do you do this problem?-example-1
User Mhbdr
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Okey so the area of a circle is taken from the equation πr²

now in the sum they have given information as: area of one small circle is 9π

that means :

area of small circle = πr²

= π3²

= π9

so in the sum they have given us the radius of one circle as 3

from this information we understand that the diameter of one small circle should be = 3 ×2

= 6 (as diameter is twice the radius)

we are given 3 of these circles. that means there are 3 times the diameter measured.

so the diameter of the large circle is = 6×3 = 18

as we calculated, since 18 is the diameter of the large circle, it should be taken ½ for radius.

radius of large circle = 18÷2

= 9

now we know the radius of large circle.

taking the equation 'πr²' to find the area:

area of large circle = πr²

= π9²

= π81

your answer is 81π

User Webwesen
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