The perimeter of a circle is equal to twice that of square, then the ratio of their areas is: -
a) 22/7
b) 14/11
c) 7/22
d) 56/11
Answers
Given : The perimeter of a circle is equal to twice that of square,
To Find : ratio of their areas is: -
Solution:
Radius of circle = r
Side of square = a
Perimeter of circle =2πr
Perimeter of square = 4a
2πr = 2 * 4a
=> r = 4a/π
Area of circle = πr² = π(4a/π)² = 16 a²/π
Area of square = a²
Ratio = 16 /π
16/(22/7)
= 7 * 16 /22
= 56/11
ratio of their areas is: - 56/11
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Given,
The perimeter of a circle is equal to twice the square.
Solution,
Assume that the radius of the circle is and side of the square is
Therefore,
Now, the ratio of their area is
Apply values.
Hence, the correct option is (d) i.e.