Question

Draw a circle of radius . Mark a point P at a distance of from the center of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.

Answer 1

Hint: The circle is defined as a set of various points that are arranged at the same distance from its center point. To draw a circle, we should know the radius of the circle. To draw tangents, we also have to draw bisectors and then measure the length of tangents.


Complete step-by-step answer:
To draw a circle with radius \[3{\rm{ cm}}\]and two tangents, we have to do use following steps,
Step 1: Draw a circle with a center O and radius \[3{\rm{ cm}}\].
Step 2: From center O, take any point outside the circle at a distance \[5{\rm{ cm}}\], that is $OP = 5\;{\rm{cm}}$.
Step 3: Draw the bisector of OP which intersects OP at point M.
Step 4: Now consider point M as a center, and measure OM. Draw a circle that intersects the previously drawn circle at point A and point B.
Step 5: Now, join Point A to point P and point B to point B such that, $AP = BP$.
Step 6: So, AP and BP are the required tangents, and on measuring tangents $AP = BP = 4\;{\rm{cm}}$.

Note: In this question, students should be careful while drawing the tangent of a circle. The measurement of OM should be accurate. And draw the tangents carefully.