Question

A square is inscribed in a circle. If the side of the square is 8 cm, the radius of the circle is —
(a) 2√2
(b) 2
(c) 4√2
(d) 4

Answer 1

$\bf {→Given\: that:-}$

$\sf{☞Side \: of \: square = 8 \: cm}$

$\bf{●We \:know \: that}$

$\small \text{☞Diagonal of square = Diameter of circle}$

$\bf{D = 8 \sqrt{2} }$

➝$\bf {Radius = \frac{diameter}{2} }$

$\sf{Radius = \frac{8 \sqrt{2} }{2} } \\\\\\\sf{= 4 \sqrt{2} }$

$\big \text{A square is inscribed in a circle}$

$\small \text{If the side of the square is 8 cm, the radius of the circle is —}$

$\bf \huge\boxed{(c) 4 \: √2}$

$\bf{Therefore:-}$

✧$\small \text{Option c is correct}$

Answer 2

as the square id inscribed in a circle so diagonal of the square is the diameter of the circle .

diagonal of the square

√(8^2×8^2) cm

=√(64+64) cm

=√128 cm

=8√2cm

so, radius if the circle 8√2/2cm=4√2 cm

so, (c) is the correct answer