55.5k views
3 votes
A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps

2 Answers

2 votes

Answer:

The other answer is correct

Explanation:

The circumference of the circle and the square will be the same so you solve the equation

4*22 = 2 pi r where r is the radius.

User Mike Sabatini
by
3.6k points
4 votes

Explanation:

the circumference of a circle is

C = 2×pi×r

with r being the radius.

the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is

4×22 = 88 cm.

now, it is the same wire of the same length that is now forming a circle.

so, the circumference of the square is also the circumference of the circle.

therefore,

88 = 2×pi×r

44 = pi×r

r = 44/pi = 14.00563499... cm

so, rounded, radius = 14 cm.

User Durican Radu
by
3.5k points