the radius of a circle when the numeric values of the circumference and the area are equal
Start with what you know. If you know the formula the area of a circle, and the formula for the circumference of a circle, then you can set them equal to each other...from there you should be able to get the radius!!
set A = pi * r^2 and C= 2*pi*r to eual each otherso u get pi*r^2 = 2*pi*r the pi's cancles and the the r^2 is reduced whuch gives r = 2
To find the radius of a circle when the numeric values of the circumference and the area are equal, you can start by using the formulas for the circumference and area of a circle.
The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.
The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
Since we want to find the radius when the circumference and area are equal, we can set the equations for C and A equal to each other: 2πr = πr^2.
Next, we can cancel out π from both sides of the equation, resulting in 2r = r^2.
Simplifying further, we have r^2 - 2r = 0.
We can then factor out an r from the left side of the equation: r(r - 2) = 0.
Now, we have two possible solutions: r = 0 or r - 2 = 0.
Since the radius of a circle cannot be zero, we can disregard r = 0 as a valid solution.
Therefore, the radius of the circle when the numeric values of the circumference and the area are equal is r = 2.