How To Work Out The Radius Of A Circle?

Measure the circumference (C) and use (r=dfrac{C}{2pi})

Measure the diameter (d) and use (r=dfrac{d}{2})

Measure the area (A) and use (r=sqrt{dfrac{A}{pi}})

Use the chord length (L) and distance from the center to the chord (h) (sagitta) and compute (r=dfrac{L^{2}}{8h}+dfrac{h}{2})

Use the chord length (L) and center-to-chord distance (x) (if given) and compute (r=dfrac{(L/2)^2+x^2}{2x})

Use two points on the circle: find the center ((h,k)) first, then compute (r=sqrt{(x-h)^2+(y-k)^2})

Use the general circle equation ((x-h)^2+(y-k)^2=r^2) and take (r=sqrt{r^2}) (the constant term)

If given the circle equation in expanded form (x^2+y^2+Dx+Ey+F=0), compute (r=sqrt{left(dfrac{D}{2}right)^2+left(dfrac{E}{2}right)^2-F})

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