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.
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.
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.
19.7392088 is also = to pi for instince infinaty=pi = never tnding so the formlea infinity=pi.
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
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.
Arcsin
Since area equals Pi times radius squared take and substitute what is known. 345 equals Pi times the radius squared. divide Pi into both sides for 109.8 equals the radius squared. Now take the square root of 109.8 to get an r of 10.47936 cm.
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.
Pi (3.14) times the radius of a circle squared, equals the circumference of a circle.
area equals pi r squared therefor r squared equals area over pi. Now find square root of r squared and you have "R" (radius) = 2.821
Area of a circle equals pi (3.14) times the radius squared.
Area of a circle is: pi times radius squared
Formula for the volume of a cylinder.
radius = 11 cm
The inverse of the cosine function is arcosine. The domain is −1 ≤ x ≤ 1 since the range of the cosine function is from -1 to 1. The range is from 0 to pi radians or 0 to 180 degrees.
Area equals pi times the radius squared.
cos(pi) = -1 so the equation becomes x = -y2. That is equivalent to y = sqrt(-x) The domain of this function is x ≤ 0. The graph of the function is the same as that of a unit parabola in the first quadrant rotated anticlockwise by pi/2 radians.