Geometry Calculator - Arabic Numerals
Calculate area, volume, perimeter, and surface area for circles, triangles, rectangles, spheres, and more geometric shapes with Arabic numeral system support.
A free online geometry calculator for 2D and 3D shapes. Calculate area and perimeter for circles, triangles, rectangles, squares, parallelograms, trapezoids, pentagons, hexagons, and ellipses. Calculate volume and surface area for spheres, cubes, rectangular prisms, cylinders, cones, and pyramids. The calculator can also solve for a missing dimension when you know the area or volume — for example, find the radius of a circle given its area. Each result includes the formula used, the substitution of values, and step-by-step intermediate calculations, making it a learning tool as well as a calculator.
About This Numeral System
The Arabic numeral system on this calculator uses Eastern Arabic-Indic digits (٠ through ٩), which are used across the Arab world — including Egypt, Saudi Arabia, the UAE, Iraq, Jordan, Syria, and other Arabic-speaking countries. These are distinct from the Western Arabic numerals (0–9) that most of the world uses today, which were originally derived from this system. If you read and write numbers in Arabic, this calculator displays results in the digits you use daily.
How This Calculator Works
Geometry Formulas: Circle: A = πr², P = 2πr | Triangle: A = ½ × b × h | Sphere: V = 4/3 πr³
Each shape uses its standard formula. The calculator substitutes the input values into the formula and shows each intermediate step. For solving unknown dimensions, the formula is rearranged algebraically — for example, given the area of a circle, the radius is computed as r = √(A / π).
Worked Examples
Input: Circle with radius 5 cm
Result: Area = π × 5² = 78.54 cm². Perimeter = 2π × 5 = 31.42 cm.
Input: Rectangle 6 m × 4 m
Result: Area = 6 × 4 = 24 m². Perimeter = 2(6 + 4) = 20 m.
Frequently Asked Questions
How do I find the area of an irregular shape?
For irregular shapes, break them into regular shapes you can calculate. For an L-shaped room, split it into two rectangles, calculate each area, and add them. For a circular segment combined with a rectangle, calculate each part separately. The calculator supports all the common shapes you need for this decomposition approach.
What is the difference between surface area and lateral area?
Lateral area is the area of only the sides of a 3D shape — not including the base or top. Surface area includes all faces: the sides plus the base and top. For a cylinder, lateral area is 2πrh (the curved side only), while total surface area is 2πrh + 2πr² (the side plus both circular ends). The calculator shows both values where applicable.
How does the calculator handle the volume of a truncated cone?
Select the 3D category and choose "Cone" or the frustum option if available. Enter the top radius, bottom radius, and height. The calculator uses the formula V = (1/3)πh(R² + Rr + r²), where R and r are the two radii. This is useful for calculating the volume of buckets, planters, and architectural elements.
What shapes does the geometry calculator support?
The calculator supports 2D shapes (circle, triangle, rectangle, square, parallelogram, trapezoid, pentagon, hexagon, ellipse) and 3D shapes (sphere, cube, rectangular prism, cylinder, cone, pyramid).
What measurements can I calculate?
For 2D shapes you can calculate area and perimeter. For 3D shapes you can calculate volume and surface area. The calculator can also solve for a missing dimension when given the area or volume.
How does the solution steps feature work?
Click the "Show Solution" button after calculating to see step-by-step work. This includes the formula used, substitution of values, intermediate calculations, and the final answer. This is perfect for learning how geometry formulas work and verifying calculations.
Are these the same numerals used in Iran and Afghanistan?
No. Iran and Afghanistan use Persian (Farsi) numerals (۰–۹), which look similar but have different glyph forms for 4, 5, and 6. This calculator has a separate Persian numeral mode for those digits.
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Key Features
- 10 two-dimensional shapes
- 6 three-dimensional shapes
- Solve for unknown dimensions
- Detailed step-by-step working