Geometry Calculator - Odia Numerals

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.

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.

Why are Odia numerals rounder than other Indian numeral scripts?

The rounded shapes come from the historical practice of writing on palm leaves (tala pata) with an iron stylus. Straight horizontal or vertical strokes would tear the leaf fibres, so scribes developed a script with predominantly curved strokes. This practical constraint shaped the script over centuries, and the numerals inherited this rounded character. The same palm-leaf origin explains the similar roundness in Burmese and some Southeast Asian scripts.