Question

10. A wire is of length 264 cm. It is bent into a circle. What is the radius of the circle so obtained. If it

is bent in the form of a square, find the side of the square.

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Answer 1

`r = 42` --- radius

`L = 66` -- Length of the square

Explanation:

Given

`Length = 264cm`

Solving (a): Find the radius (when it formed a circle).

The length of the wire represents the circumference (C) of the wire.

So, we have:

`C = 2\pi r`

Make r the subject

`r = (C)/(2\pi)`

Substitute 264 for C

`r = (264)/(2\pi)`

`r = (132)/(\pi)`

Take
`\pi` as 22/7

`r = (132)/(22/7)`

`r = (132*7)/(22)`

`r = (924)/(22)`

`r = 42`

Solving (b): Find the side length (when it formed a square).

The length of the wire represents the perimeter (P) of the wire.

So, we have:

`P = 4L`

Make L the subject

`L = (1)/(4)P`

Substitute 264 for P

`L = (1)/(4)*264`

`L = 66`