Question

A square of perimeter 44 m is made of wire
Then it is bent to form a circle. What is the
circumference of the circle? Also find the are
of the circle. If it is re-bent into the shape of a
rectangle, will the length of the wire change?
Give reasons in support of your answer.​

Answer 1

Circumference = 44 cm

$Diameter = \frac{Circumference}{\pi} \\\\= \frac{44\times7}{22} cm$

$= 14\ cm\\\\Area\ of\ circle = \pi (\frac{diameter}{2})^{2} \\\\\frac{22}{7} (\frac{14}{2})^2\\\\ = 154\ cm^2$

The length of the wire will not change.

Amannnscharlie

Answer 2

Answer:

• circumference of the circle = 44m
• area= 154m²
• length will be the same

Step-by-step explanation:

circumference of the circle = perimeter of square (same wire is used)

=44m

circumference of the circle= 2πr=44m

2×22/7×r=44

r=44×7/2×22

r=7

area of circle =πr²

22/7×7²

154 m²

when it is reshaped to a rectangle the length will not change (because you are using the same wire)