Question 1161383
Find the area of a square inscribed in a circle whose radius is 8cm. Thank you
<pre>With the radius being 8 cm, the diameter is 2(8) = 16 cm.
The diagonal of a square inscribed in a circle is also the circle's diameter.
The legs/sides of the square are congruent - this being a square - so with each congruent side being S, we get: {{{matrix(4,3, S^2 + S^2, "=", 16^2, 2S^2, "=", 16^2, S^2, "=", 16^2/2, S^2, "=", 128))}}}
The above, {{{highlight_green(matrix(1,5, S^2, ",", or, 128, cm^2))}}} represents the AREA of the square.