the radius of a circle when the numeric values of the circumference and area are equal.

circumference = 2*pi*r
area = pi*r^2
Set them equal and solve for r.

thanks! i understand it now!

2*3.14*r=3.14*r^2
6.28*r=3.14*r^2
r=3.14
Is that right? It doesn't seem to be.

2*3.14*r=3.14*r^2
6.28*r=3.14*r^2 You are ok to here.
r=3.14
Is that right? It doesn't seem to be.
Then divide both sides by 3.14
(6.28/3.14)*r=(3.14/3.14)r^2
2*r=1*r^2
Now divide both sides by r
2*(r/r)=(r^2/r)
2*1=r
2=r

But there is an easier way to have done it. Start at the beginning and we have
2*pi*r=pi*r^2
The pi cancels since it is on both sides.
Divide both sides by r to obtain
2=r

I hope this helps.

thanks, it did help!!

the diameter of a bicycle wheel is 26 in. How far will you travel after one complete turn of the wheel?

To calculate the distance traveled after one complete turn of the bicycle wheel, you need to find the circumference of the wheel.

The circumference of a circle can be found using the formula: circumference = 2 * pi * radius.

In this case, you are given the diameter of the wheel, which is 26 inches. The radius of the wheel is half of the diameter, so you can divide the diameter by 2 to find the radius.

radius = diameter / 2
radius = 26 / 2
radius = 13 inches

Now that you have the radius, you can calculate the circumference:

circumference = 2 * pi * radius
circumference = 2 * 3.14 * 13
circumference ≈ 81.64 inches

Therefore, after one complete turn of the wheel, you will travel approximately 81.64 inches.