a wire of length 22cm was bent is to the shape of a circle the same wire is bent to the shape of a square with figure encloses more area
Answers
given:-
perimeter of square=circumference of Circle
we know that length of the side of square are equal.
perimeter of square=22cm
side×4=22cm
side=22/4
side=5.5 cm
side of the square is 5.5cm
hence, area of the square=side×side
=5.5 × 5.5 cm^2
=30.25 cm²
circumference of the circle=22cm
2πr=22cm
2×22/7×r=22cm
44/7×r=22cm
r=22/1×7/44
r=7/2
r=3.5 cm
radius of the circle is 3.5 cm.
hence, area of the circle=πr²
=22/7×3.5×3.5
=269.5/7
=38.5 cm²
thus, circle encloses more area by= 38.5-30.25 cm^2
= 8.25 cm².
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I hope it will helps you friend
Answer:
Step-by-step explanation:
When wire is bent in circle
Circumference becomes 22 cm
So, 2*22/7*r=22
solving the equation we get r=77/22 cms
Now area= 22/7*r^2
22/7*77/22*77/22
=77/2 = 38.5 cm squared
Similarly when forming a square
Side becomes 22/4=11/2 cm
area= s*s
=11/2*11/2
=121/4 = 30.25 cm squared
Therefore Area of circle is greater