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The inverse function of A = πr^2 would involve solving for r in terms of A. To find the inverse function, start by dividing both sides by π to isolate r^2. Then, take the square root of both sides to solve for r. The inverse function would be r = √(A/π), where r represents the radius of a circle given the area A.
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Example of a function that has no inverse function?
y = sin x is such a function. It has an inverse, of course; but the inverse, sin-1, strictly speaking, is not a function.Example: Given that x = pi/6, y must equal 0.5. However, given that y = 0.5, x can equal pi/6, 5 pi/6, 13 pi/6, 17 pi/6, or an infinity of values, both positive and negative.For y to be a function of x, and x to be, also, a function of y, there must be exactly one value of y that answers to a given value of x, and vice-versa. Then, and only then, is each function the inverse of the other.
What is the surface area of a cylinder with 4m in diameter and 6m in height?
The surface area of a (closed) cylinder equals the surface area of both bases (the top and bottom), i.e. pi x radius squared (first base) + pi x radius squared (second base), plus the lateral surface area (the surface area of the curved side), i.e. circumference (pi x diameter) x height. Inserting the numbers: SA = pi x (2 m.) squared + pi x (2 m.) squared + pi x 4 m. x 6 m. = pi x 4 m. squared + pi x 4 m. squared + pi x 24 m. squared = 8 x pi m. squared + 24 x pi m. squared = 32 x pi meters squared.
What is Pi squared plus Pi squared?
19.7392088 is also = to pi for instince infinaty=pi = never tnding so the formlea infinity=pi.
What is the square root of pi times pi?
The square root of pi times pi is simply pi. Because pi*pi=pi squared, the squared and the square root will cancel each other, leaving just pi.
How do you find the radius of a circle if you already know the area?
The area of a circle equals pi times the radius squared (A = pi*radius2) where pi is 3.1416 So the radius is the square root of the area divided by 3.1416
