Question

A wire of length 132cm is bent into a circle. what will be the radius and area of the circle? if it is made into the shape of a square what will be its area?

Answer 1

Step-by-step explanation:

Here two cases appear:

• When wire is bent into a circle:

Then the circumference = length of wire = 132

• 2πr = 132
• πr = 132/2 = 66
• r = 66/π [ π = 22/7]
• r = 66 * 7/22 = 3*7 = 21 cm

Area of circle = πr² = (22/7)*21*21

• Ar(Circle) = 1386 cm²

Now:

• When wire is bent into square:

Then the perimeter = length of wire = 132

• 4*side = 132
• side = 132/4 = 33 cm

Area of square = side² = 33² = 1089 cm²