Question

Construct a square inscribed in a circle of radius $3$ cm.

Answer 1

• Draw a line segment of length $3cm\left(AB\right)$
• Make an angle of ${90}^o$ from base $AB$ and vertex $B$
• Mark a point $C$ at a distance $3cm$ from $B$
• Draw perpendicular bisectors of $CB$ and $AB$
• These bisectors meet at point $O$
• Taking $O$ as center, make a circle of radius $OB$
• Also, make an angle bisector of $\angle ABC$
• This angular bisector meets/cuts the circle at $D$
• Join $ABCD$, would be the required square of side $3cm$