the perimeter of a square and the circumference of a circle are the same and each is equal to 44 cm.which of these figures has a greater area and by how much?
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circumference = 44
perimeter of square = 44
one side of square = 44÷4
11 cm.
area of square = s×s
= 11×11=121 sq.cm
in the same way,
circumference of circle = 2πr
44 = 2×22/7 ×r
r= 44×22/2×7
r= 69.14 cm
area of circle = πrsq.
3.14×69.14×69.14
= 15001.5824cmsq.
therefore , area if circle is greater than square.
perimeter of square = 44
one side of square = 44÷4
11 cm.
area of square = s×s
= 11×11=121 sq.cm
in the same way,
circumference of circle = 2πr
44 = 2×22/7 ×r
r= 44×22/2×7
r= 69.14 cm
area of circle = πrsq.
3.14×69.14×69.14
= 15001.5824cmsq.
therefore , area if circle is greater than square.
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Answer:
Step-by-step explanation:
Perimeter of a square= 4s. ....(1)
Given perimeter= 44cm. ....(2)
From (1) , (2)
4s=44cm
=> s=44cm/4
=> s= 11cm
Area of square=s*s
=> 11*11
=> 121 cm sq. ......(3)
Circumferece of a circle =2πr. ...(4)
Gicen circumference= 44cm. ....(5)
From(4),(5)
2πr=44cm
=> 2*3.14*r=44
=>r=44/(2*3.14)
=> r= 7 (approx)
Area of a circle= π*r*r
=>3.14*7*7
=>154 cm sq. (approx) .....(6)
From (3), (6)
We can see that the area of circle is greater than the area of square by 33 cm...
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