Question

If a square is inscribed in a circle with centre 'o' as shown .Then the perimeter of the square given that the radius of the circle is 'a':

• A. $a$
• B. $\sqrt{2}a$
• C. $\frac{a}{\sqrt{2}}$
• D. $2\sqrt{2}a$

Answer 1

The correct option is B

$\sqrt{2}a$

Let the side of ht square be x
In $\Delta BCD$
$B{C}^2+C{D}^2=B{D}^2$
$2x^2+4a^2$
$x^2=2a^2$
$x=\sqrt{2}a$