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Step 1
Learn the formulas relating radius to circumference, area and diameter. If pi is a constant, area = a, circumference = c, diameter = d and radius = r, the formulas are:
c =2 pi r
a = pi r^2
d = 2 r -
Step 2
Notice what you already know about the circle. If you are expected to find the radius, you will already know the diameter, area or circumference. Choose the equation from step 1 that relates radius to the quantity you already know.
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Step 3
Divide the diameter by 2 to get r if you know the diameter. For example, if your circle has a diameter of 4, the radius is 4/2 = 2.
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Step 4
Divide the circumference by 2 pi to find the radius if you know c. it's impossible to write the exact value of pi, but for most problems 3.14 is a good enough approximation. So, if your circumference is 618, you would get
r = 618 / 2 pi
r = 618 / 2 x 3.14
r = 618 / 6.18
r = 100 -
Step 5
Plug in the area to find the radius if you know the area. If a = pi r^2 then r = the square root (sqrt) of the area divided by pi, or to put it in mathematical script, sqrt(a/pi).
So, if the area is 3.14, we get:
r = sqrt(3.14 / 3.14)
r = sqrt(1)
r = 1
