If a wire of 440 m length is moulded in the form of a circle and a square turn by turn , find the ratio of the area of the circle to that of square
Answers
Given info : a wire of 440 m length is moulded in the form of a circle and a square turn by turn.
To find : the ratio of the area of circle to that of square is ...
solution : case 1 : when wire is moulded in the form of a circle.
circumference of circle = length of wire
⇒2πr = 440 m
⇒2 × 22/7 × r = 440
⇒r = 70 m
area of circle = πr² = 22/7 × 70 × 70
= 22 × 10 × 70
= 15400 m²
case 2 : when wire is moulded in the form of square.
perimeter of square = length of wire
⇒4 × side length = 440 m
⇒side length = 110 m
area of square = (side length)² = (110 m)²
= 12100 m²
the ratio of area of the circle to that of square = (15400 m²)/(12100 m²)
= 154/121
= 14/11
Therefore the ratio of area of the circle to that of the square is 14 : 11
Answer:
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