Geometry Calculator - Kannada Numerals
Calculate area, volume, perimeter, and surface area for circles, triangles, rectangles, spheres, and more geometric shapes with Kannada 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
Kannada numerals (೦ through ೯) are used in the Indian state of Karnataka for Kannada, a Dravidian language spoken by roughly 45 million people. These numerals appear in Kannada-language education, government documents, and media in Karnataka, including the city of Bengaluru (Bangalore). This calculator displays results in Kannada numerals for users who read and write in Kannada.
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 Kannada numerals similar to Telugu numerals?
Kannada and Telugu scripts share a common ancestor and their numeral glyphs are visually similar, but they are not identical. For example, Kannada 3 (೩) and Telugu 3 (౩) look alike but have subtle stroke differences. If you are working with Kannada documents specifically, use the Kannada mode rather than the Telugu mode to ensure correct rendering.
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Key Features
- 10 two-dimensional shapes
- 6 three-dimensional shapes
- Solve for unknown dimensions
- Detailed step-by-step working