Sometimes it is necessary to determine how large an inner circle has to be in order to have an area that is a certain percent of an outer circle.
Situations where this can occur:
(1) antibiotic disc susceptibility
(2) percent of hepatic lobule showing confluent perivenular necrosis
Parameters:
(1) radius of outer circle
(2) percent of outer circle area serving as target (expressed as a decimal fraction)
radius of inner circle with y percent of outer circle =
= (radius of outer circle) * SQRT((percent as a whole number)/100)
Percent of Outer Circle Area
|
Radius of Inner Circle as Percent of Outer Circle's Radius
|
25%
|
50%
|
33%
|
57%
|
50%
|
70%
|
66%
|
81%
|
75%
|
87%
|