Question
Download Solution PDFNine times the area of a circle is same as the three times the area of a square. What is the ratio of the diameter of the circle and diagonal of the square?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Nine times the area of a circle is the same as the three times the area of a square.
Formula used:
Area of a circle = πr2 (r = radius)
Diameter = 2 × radius
Area of a square = a2. (a is the side of the square)
The diagonal of the square = a√2
Calculation:
As per the question,
9πr2 = 3 a2
⇒ 3πr2 = a2
⇒
⇒ 2r / a√2 = √2 :
The correct option is 1
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