# To find the approximate value of π, take the wire of length 11 cm, 22 cm and 33 cm each

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To find the approximate value of $\pi$, take the wire of length 11 cm, 22 cm and 33 cm each.

Make a circle from the wire.

Measure the diameter and complete the following table.

 Circle No. Circumference (c) Diameter(d) Ratio of (c) to (d) i. 11 cm ii. 22 cm iii. 33 cm

Verify that the ratio of circumference to the diameter of a circle is approximately $\sqrt[22]{7}$.

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 Circle No. Circumference (c) Diameter(d) Ratio of (c) to (d) i. 11 cm 3.5 $\sqrt[22]{7}$ ii. 22 cm 7 $\sqrt[22]{7}$ iii. 33 cm 10.5 $\sqrt[22]{7}$

∴ The ratio of circumference to the diameter of each circle is $\sqrt[22]{7}$