If the committee decides to double the radius, the approximate area of the new playground is; A_new = 6000 sq.ft
How to find the area of a Circle?
We are given the area of a circular playground as;
A = 1500 ft²
Formula for area of Circle is;
A = πr²
Thus;
πr² = 1500
r = √(1500/π)
Now, they want to double the radius. Thus approximate area of the new playground is;
A_new = π * [2√(1500/π)]²
A_new = π * [4(1500/π)]
A_new = 6000 sq.ft
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