Posted by **INDIANA** on Tuesday, June 5, 2012 at 10:57am.

(in this question they did not give me any diagrams)

use pie 22/7

(a) a piece of wire is bent to form a square of area 121cm squared

Calculate the length of each side of the square.

Calculate the perimeter of the square.

(b) the same piece of wire was bent to form a circle.

Calculate the radius of the circle.

Calculate the area of the circle.

PLEASE EXPLAIN HOW YOU GOT EACH ANSWER THANK YOU.

- Mathematics -
**Steve**, Tuesday, June 5, 2012 at 11:34am
first, it's "pi" not "pie"

121 = 11^2, so the wire is bent into an 11×11 square. 4 sides of 11cm = 44cm perimeter.

for a circle, the circumference is 2πr, and the area is πr^2. We have 122cm of wire, so c = 121. r = 121/2π = 19.26cm

the area of the circle is πr^2 = π(c/2π)^2 = c^2/4π = 121^2/4π = 1165cm^2

- Mathematics -
**INDIANA**, Tuesday, June 5, 2012 at 11:43am
How did you get 122cm of wire??

- Mathematics -
**Reiny**, Tuesday, June 5, 2012 at 12:12pm
Come on, Indiana!

Could you not see that Steve made a simple typing error??

He did use the correct number of 121 in the very next line, so clearly no harm was done.

Both his answers are correct.

- Mathematics -
**Baller T**, Thursday, September 24, 2015 at 2:02am
A piece of wire is bent to form a square of area 121cm.

Calculate:

a)the length of each side of the square

b)the perimeter of the square

The piece of wire is now bent to form a circle using π=3.14

Calculate:

a)The radius of the circle

- Mathematics -
**fathima raffi**, Friday, November 13, 2015 at 2:31pm
area of the square = 121cm²

s² = 121

s = square root of 121

s = 11 cm

the length of each side of the square is 11cm.

perimeter of the square = 4s

= 4*11

= 44 cm

length of the wire = c of circle

121 cm = 2πr

121 cm = 2*22/7* r

r = 121 by 2 * 22/7

r = 19.26 cm

therefore,

area of the circle = πr²

= 22/7 * 19.26 * 19.26

= 1165 cm²

thank you!!

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