If a given stick of length 628 m is bent in the form a circle and later bent into a square. Which of them, circle or square will have greater area? [4 MARKS]
Formula: 1 Mark
Steps: 2 Marks
Result: 1 Mark
Length of the stick is equal to the perimeter of circle and square individually.
Circle of given radius has a perimeter of 628 m.
Side of square = 157 m
Radius of the given circle:
= 6282×π
= 100m
Area of the circle:
= π × r2
= π × 1002
= 3.14× 1002
= 31400m2
Area of the square
= length×length
= 157×157
= 24649m2
The area of circle is greater than area of square.