Area of Circle is given by the formula:
where
A = Area
π = 3.14
r = radius
Let's solve for radius (r) of smallest circle as the area is given as 36π.
solve for radius of smallest circle,
A = πr²
36π = π r²
r² = 36π / π
r² = 36
r = √36
r = 6
so, radius of smallest circle = 6
now we use the given ratios to solve for the radius of the largest circle,
2 : 3 : 5 = 6 : radius of mid circle : radius of largest circle
let's use the ratio where there is only 1 unknown,
2 : 5 = 6 : radius of largest circle
2 (radius of largest circle) = (6)(5)
radius of largest circle = 30/2
radius of largest circle = 15
so now we have radius of largest circle = 15
It's time to find Area of largest circle,
A = πr²
A = π (15)²
A = 225π units²
or you can express it as:
A = 225π
A = 225 (3.14)
A = 706.5 units²
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