If you need triangle perimeter, triangle area and inradius (r) and you already have side a, side b, side c, one way, area, circumference and ratio of areas, this calculator does the substitution for you. It suits a quick check, a homework answer you want to confirm, or any figure you need to sanity test.
What Is the Circumscribed Circle Calculator?
The circumscribed circle calculator works through side a, side b, side c, one way, area, circumference and ratio of areas to give you triangle perimeter, triangle area and inradius (r).
It is aimed at the case where you know the method but not the arithmetic: schoolwork, a quick check on a worked example, or a figure that needs to be right first time.
How the Circumscribed Circle Works
Each step is applied in order and depends only on the values before it, which makes it possible to follow the calculation rather than take it on trust.
If you are working through the same problem by hand afterwards, compare the intermediate values. That is where a mistake usually shows itself.
Checking Your Own Working
Round sensibly as you go and keep the full precision in the calculator. Rounding too early is the most common way of getting a right method to give a wrong answer.
Where a result should be a whole number, such as a count, check it against the constraint that produced it. A fraction of a person is a sign that something upstream needs revisiting.
A Worked Example
Working through an example, with side a set to 10, side b set to 5, side c set to 2, the calculator returns triangle area of -, and triangle perimeter of 17, and radius (r) of -. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out triangle perimeter?
Enter side a, side b, side c, one way, area, circumference and ratio of areas. The calculator then works through the relationship and reports triangle perimeter, triangle area and inradius (r).
What does the circumscribed circle actually calculate?
It takes side a, side b, side c, one way, area, circumference and ratio of areas and converts them into triangle perimeter, triangle area and inradius (r) using the standard relationship for this problem. Each step is applied in turn, so every output is traceable back to the numbers you typed in.
How should I enter side a?
Use the value you actually have, in the unit shown next to the field. Enter every value in the same unit system. The calculator assumes the figures you supply are consistent, so it cannot correct a mistake that happens before the calculation starts.
Why does a small change in one value move the answer so much?
That happens when an output depends on a ratio, because dividing by a small number magnifies any change in it. Check the units first, then check whether the value you entered is in the range the relationship was designed for.
Do I have to fill in every field?
Only the fields a particular result depends on. If you leave one blank, the results that need it simply show a note instead of a number, and everything else still works.