উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।
ব্যাখ্যা ও সঠিক সমাধান
উত্তর:
১৬.৭৫ সে. মি.
Perimeter of the square + Circumference of the circle = 2 meter.
As, The circle passes through the four corners of the Square.
So, The diameter of the Circle = The length of the diagonal of the the Square.
Let, the radius of the circle = r meter.
And the length of one side of the Square = a meter
Now, √2a = 2r
Or, a = 2r/√2
So, a = √2 r.
Now, ATQ,
4a + 2πr = 2
Or, 2a + πr = 1
Or, 2*√2r + πr = 1
Or, r( 2√2 + π) = 1
Or, r = 1/(2√2 + π)
or, r = 0.1675 meter
= 16.75 cm