Geometric Theorem Library
Comprehensive library of geometric theorems and formulas. Calculate triangle sides, areas, circle properties, sphere volumes, and more with step-by-step solutions.
Geometric Theorem Library
Input Values
Theorem Information
Pythagorean Theorem
In a right triangle: a² + b² = c² where c is the hypotenuse.
Law of Cosines
c² = a² + b² - 2ab cos(C) for any triangle.
Law of Sines
a/sin(A) = b/sin(B) = c/sin(C) for any triangle.
Heron's Formula
Area = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2.
Circle Area
A = πr² where r is the radius.
Circumference
C = 2πr where r is the radius.
Sphere Volume
V = (4/3)πr³ where r is the radius.
Sphere Surface Area
A = 4πr² where r is the radius.
How to use:
- • Select the theorem you want to use from the options above
- • Enter the required values in the input fields
- • Click "Calculate" to see the result and step-by-step solution
- • Each theorem has specific input requirements - follow the labels
- • Perfect for geometry, trigonometry, and calculus problems
- • All calculations are mathematically accurate and verified
❓Geometric Theorems FAQ
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