There is no point reaching for a calculator that cannot show its working. This one starts from angle acb, angle c, angle d, chord’s length, closest angle, distance from the center, furthest angle, inscribed angle, pb length, pc length, pd length, radius, x coordinate, y coordinate, sin, one way and diameter and reports y intercept abs, external angle and central angle, so you can see how each answer follows from the numbers you entered.
What Is the Circle Theorems Calculator?
The circle theorems calculator works through angle acb, angle c, angle d, chord's length, closest angle, distance from the center, furthest angle, inscribed angle, pb length, pc length, pd length, radius, x coordinate, y coordinate, sin, one way and diameter to give you y intercept abs, external angle and central angle.
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 Circle Theorems 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 angle acb set to 10, angle c set to 5, angle d set to 2, the calculator returns central angle of 200, and arc length of 20,000, and angle bac of -8.4292. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out y intercept abs?
Enter angle acb, angle c, angle d, chord's length, closest angle, distance from the center, furthest angle, inscribed angle, pb length, pc length, pd length, radius, x coordinate, y coordinate, sin, one way and diameter. The calculator then works through the relationship and reports y intercept abs, external angle and central angle.
What does the circle theorems actually calculate?
It takes angle acb, angle c, angle d, chord's length, closest angle, distance from the center, furthest angle, inscribed angle, pb length, pc length, pd length, radius, x coordinate, y coordinate, sin, one way and diameter and converts them into y intercept abs, external angle and central angle 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 angle acb?
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.
Can I use this for a quick estimate as well as a precise answer?
Yes. The calculator is built for quick checks, so round your inputs to a sensible number of significant figures and the result will be just as useful. If you need more precision, keep the same method and add digits to the inputs rather than adjusting the method itself.
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.