Question

FIND the raduis of a circle framed by banding a 352 cm long wire

Answer 1

Given ,

A 352 cm long wire, by banding made a circle.

To find ,

The radius of the circle .

Solution,

We can solve this using the formula of the circumference of any circle.

The formula of  circumference of any circle is as follows ,

If the radius of any circle is r unit then the circumference will be $2\pi r$ unit.

In this case, the length of the wire is equal to the circumference of the circle.As the circle is formed by banding the wire .

So $2\pi r = 352.$

⇒2×$\frac{22}{7}$×r=352.

⇒44r=352×7.

⇒44r=2464.

⇒r=$\frac{2464}{44}$.

⇒r=56.

Thus the radius of the circle, r is 56 cm.

Hence, the radius of the circle is formed by banding the wire is 56 cm.