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