Question 1201695
.
A square of area 70cm^2 is inscribed inside a circle . What is the area of the circle
~~~~~~~~~~~~~~~~~~~~


<pre>
If the area of a square is 70 cm^2, then its side  "a"  is  a = {{{sqrt(70)}}} cm.


Then the radius of the circle is  r = {{{sqrt((a/2)^2+(a/2)^2)}}} = {{{sqrt((2a^2)/4)}}} = {{{a/sqrt(2)}}} = {{{sqrt(70)/sqrt(2)}}}.


Then the area of the circle is  

    area = {{{pi*r^2}}} = {{{pi*(70/2)}}} = {{{35*pi}}} = {{{35*3.14}}} = 109.9 cm^2  (approximately).    <U>ANSWER</U>
</pre>

Solved.