A good spectator also creates – Swiss Proverb

Prove that 3 < π < 4 .

ok…im really really bad in math, but you guys are amazing!

In the same line.

Consider a circle of radius r. Consider another square of length 2r around the circle. Here r = 1 unit.

Area of square r*r i.e 4 unit square. Area of circle pi*r*r = pi unit square.

By observation 4 > pi.

Simillarly consider a square of length root of 3.

Area of suqare will be 3 unit square wich is less than Area of circle.

i.e we have 3 < pi < 4

pie, by defination is the ratio between the circumference of a circle and diameter.

take a hexagon of side a, by observation you know its circumference (= 6a) is less than that of the circle of radius a. pie >3

now take a square of side 2a. its circumference is more than that of the circle pie

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ok…im really really bad in math, but you guys are amazing!

In the same line.

Consider a circle of radius r. Consider another square of length 2r around the circle. Here r = 1 unit.

Area of square r*r i.e 4 unit square.

Area of circle pi*r*r = pi unit square.

By observation 4 > pi.

Simillarly consider a square of length root of 3.

Area of suqare will be 3 unit square wich is less than Area of circle.

i.e we have 3 < pi < 4

pie, by defination is the ratio between the circumference of a circle and diameter.

take a hexagon of side a, by observation you know its circumference (= 6a) is less than that of the circle of radius a.

pie >3

now take a square of side 2a. its circumference is more than that of the circle

pie