Draw a circle with its two chords ^@PQ^@ and ^@RS^@ such that ^@ | Math Question and Answer

Answer:

Step by Step Explanation:

Draw a circle with any radius and center $O$ .
Draw two chords $PQ$ and $RS$ .
With center $P$ and radius more than half of $PQ$ , draw arcs on each side of the chord $PQ$ .
With center $Q$ and same radius, draw arcs cutting the previous arcs at $A$ and $B$ respectively.
Join $AB$ .
With center $R$ and radius more than half of $RS$ , draw arcs on each side of chord $RS$ .
With center $S$ and same radius, draw arcs cutting the previous arcs at $C$ and $D$ respectively.
Join $CD.$ $AB$ and $CD$ are the required perpendicular bisector of $PQ$ and $RS$ respectively.
Both perpendicular bisector $AB$ and $CD$ intersect each other at the center of the circle.

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