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s if thepernnetua 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,grtho aras of the square that can he inscribed in a circle of radius 8 cm. |
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Answer» Length of wire = 440 mSo, this will be considered as the perimeter for a square and circumference for a circle.So, according to the question.Circumference of circle = 2πr440 = 2*22/7*r44r = 440*7r = (440*7)/44Radius of the circle = 70 m.Now, area of the circle =πr²= 22/7*70*7Area of the circle = 15400 sq mNow,Perimeter of the square = 440 mEach side of square = Perimeter/4= 440/4Each side of square = 110 mNow,Area of the square = side× side= 110× 110Area of the square = 12100 sq mNow,Ratio of the area of the circle to that the area of the square.= 15400 : 12100Ratio = 14 : 11 |
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