# Baudhayana method of constructing a circle equal in area to a square

वर्ग के क्षेत्रफल के बराबर एक वृत्त Circling the square in Hindi

## वर्ग के क्षेत्रफल के बराबर एक वृत्त बनाना** **

**Constructing a circle equal to the area of the square**

**Baudhayana was able to construct a circle almost equal in area to a square and vice versa. These procedures are described in his ****Sulbasutra**

Circling the square

finding a circle whose area is the same as that of a square (the reverse of squaring the circle).

**Draw half its diagonal about the centre towards the East–West line; then describe a circle together with a third part of that which lies outside the square.**

Explanation:

- Draw the half-diagonal of the square, which is larger than the half-side by .
- Then draw a circle with radius
, which equals

.

, or
- Now
.

, so the area

**YouTube**

**Channel : High School Maths – T K P**