Question

# Find the area of  a square inscribed in a circle of radius $$a$$

Solution

## $$Radius$$ $$=a$$ & $$Diameter$$ $$=2a$$$$Diagonal\space of\space square$$ $$=2a$$$$AC^2=AB^2+BC^2$$$$(2a)^2=(side)^2 + (side)^2$$$$4a^2=2 side^2$$$$side^2=\dfrac{4 a^2}{2}=2a^2$$$$Area\space of\space square$$ $$=side^{2}=2a^{2}$$Mathematics

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