Some body have asked this question I have forgotten the name the question is: the circumference of a circle is 36π cm what is the radius of a circle if any body finds it then please answer him or her
The formula for the area of a circle is given by A = πr², where r is the radius of the circle.
Since we know that area A = 36π, we can substitute into the formula for area A and get:
36π= πr²
Now, dividing both sides by π in order to begin isolating r on one side of the equation, we get:
(36π)/π = (πr²)/π
36(π/π) = (π/π)r²
36(1) = (1)r²
36 = r²
r² = 36 (since equality is symmetric, i.e., if a = b, than b =a)
Now, taking the square root of both sides, we have:
√(r²) = ±√(36)
r = √(36) (since a distance cannot be physically negative, then we have to use the positive square root)
r = 6 (since (6)(6) = 36)
CHECK:
A = 36π
36π= π(6²)
36π = π(36)
36π = 36π
Therefore, r = 6 is indeed the radius of the circle with an area of 36π.