Question

A wire bent in the shape of a square with side 11cm was straightened out
and bent in the shape of a circle. Find the radius and area of the circle.
Which figure encloses more area, the square or the circle?

Answer 1

Answer:

radius = 7cm

Circle acquire more area

Step-by-step explanation:

wire used = perimeter of circle and square

since here we know the perimeter of square

Perimeter of a square = 4a

= 4(11)

= 44cm

To find Radius of circle we know the circumference,

so,

2πr = 44

2*22/7*r = 44

r = 44 × 7/22 * 1/2

r = 7 cm

Area of square = side ²

= 11cm * 11cm

= 121cm²

Area of circle = πr²

= 22/7*7*7

= 154cm²

so here the circle acquires more area and radius is 7cm.

hope this helps

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