A copper wire of length 44cm is to be bent into
a square and a circle. Which will have a larger
area?
Answers
Step-by-step explanation:
we have to first find the radius and the side of the square measures
circle: circumference=2πr
44=2*22/7*r
r=44*7/22
r=14/2
r=7 cm
square = perimeter = side *4
44=side * 4
side=44/4
side=11
area of circle
πr²
22/7*7*7
22*7=154
area of square = side² or side *side
area = 11² or 11*11
area = 121
area of square ∠ area of circle
121 ∠ 154
therefore area of the circle is greater than area of square
hope this answer helps you
thankyou
Wire of length which is bent = 44cm
Therefore,
Perimeter of = perimeter of circle = 44cm
Let's find side of square by using perimeter =
p = 4 × Side
44 = 4 × Side
Side = 11
Area = Side × Side
Area = 121 cm²
Let's find radius of circle by using perimeter =
p = 2 π r
44 = 2 × 22/7 × r
r = 7 cm
Area = π r²
Area = 22/7 × 7 ×7
Area = 154 cm²
As we got area of square = 121 cm² and area of circle = 154 cm²
So, circle will have larger area