A beginner's guide to Mensuration

In this course the students will learn about the circle, circle theorems, how to find the volume and surface area of the geometric figures .

Archimedes of Samos (287-212 B.C ) studied at Alexandria as a young man . One of the first to apply scientific thinking to everyday problems, he was a practical man of common sense. He gave proofs for finding the area , the volume and the center of gravity of circles, spheres, cones  and spirals. He was killed in the siege of Syracuse at the age of 75.

Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures.

Mensuration may refer to:

• Measurement

• Theory of measurement

  • Mensuration (mathematics), a branch of mathematics that deals with measurement of various parameters of geometric figures and many more

  • Forest mensuration, a branch of forestry that deals with measurements of forest stand

• Mensural notation of music

• Mensuration canon, a musical composition wherein the main melody is accompanied by one or more imitations of that melody in other voices

Name of Shape Shape Formula Square Perimeter = 4 x s
Area = s x s

Rectangle Perimeter = 2l + 2w
Area = l x w

Parallelogram Perimeter = 2l + 2b
Area = base x height

Rhombus Perimeter 4 x a
Area = (d1 x d2)/2

Triangle Perimeter = a + b + c
Area = (b x h)/2Equilateral

Triangle Perimeter = 3 x a
Area = (√3 a 2 ) / 4

Trapezoid Perimeter = sum of all sides
Area = (a + b) x h / 2

Circle Circumference = 2 x π x r
Area = π x r 2

Semicircle Circumference = π x r x D
Area OF Semi circle = (π r 2 )/2