Let us study a Circle inscribed in Equilateral Triangle and Square First let’s see the Circle in Equilateral Triangle By Pythagoras theorem in triangle BAP BA2 = AP2 + BP2 t2 = L2 + (t/2)2 L2 = 3t2 /4 L = √3 t/2 Again by Pythagoras theorem in triangle BOP BO2 = OP2 + BP2 (L – r) 2 = r 2 + (t/2) 2 r2 = (√3t/2 – r)2 – (t/2)2 […]

# Category: Mensuration

## Circumscribed Square

The square which is made in a circle such that all four vertices of a square touches circle is called Circumscribed square. By Pythagoras theorem in triangle BOC s2 = r2 + r2 s = √2r Areas In terms of radius ‘r’ In terms of side ‘s’ Area of square ABCD with side ‘s’ […]

## Circumscribed Triangle

The triangle which is made in a circle such that all three vertices of a triangle touches circle is called Circumscribed Triangle. Let us see the an example of Circumscribed equilateral triangle. By Pythagoras theorem in triangle BAP BA2 = AP2 + BP2 t2 = L2 + (t/2)2 L2 = 3t2 /4 L = √3 t/2 […]

## Mensuration Formulas

Mensuration is the branch of mathematics which deals with the study of Geometric shapes, their area, volume and related parameters. Some important mensuration formulas in one poster: Download

## Geometry – 3D Shapes Formulas

A 3D shape is a shape that is bounded by a number of surfaces or planes. These are also referred to as solid shapes. These shapes have height or depth unlike 2D shapes; they have three dimensions- length, breadth and height/depth and are therefore called 3D figures. For 3D shapes we measure Volume (V), Curved […]

## Geometry – 2D Shapes Formulas

A 2D shape is a shape that is bounded by three or more straight lines or a closed circular line in a plane. These shapes have no depth or height; they have two dimensions- length and breadth and are therefore called 2D figures or shapes. For 2D shapes, we measure area (A) and perimeter (P). […]