Question

Draw the tangents to the circle from the point L with radius $ 3\;cm $ . Point L is at a distance of $ 8\;cm $ from the centre M.

Answer 1

Hint: To draw any construction first always draw a rough figure and mark given measurement on it with proper labeling to understand steps of construction. Then, proceed one by one step to draw a full figure or required construction.

Complete step-by-step answer:
First we draw a circle of radius $ 3\;cm $ with the help of compass and name its center as O.

Now, take a point L out of the circle and which is at a distance of $ 8\;cm $ from the centre of the circle.

To draw a pair of tangents from L to circle. We first draw a bisector of line segment OL. For the bisector we draw two arcs from initial O and L with radius more than half of OL and name it as M where it meets line OL.

Now, from the initial M draw an arc of radius OM where it meets the circle name these two points at A and B.

Join AL and BL to have required tangents from point L which is at a distance of $ 8\;cm $ from centre of the circle.

These are the required steps of construction for a given figure.

Note: While doing construction problems one should draw construction very neatly and all angles must be drawn by using compass if possible to draw and also take exact measurement of given lengths which are required to draw figure or required construction. Also, write the steps of construction and explain it.