Question

Draw a circle of radius 3cm. Mark a point 7cm away from its center. Draw the tangents to the circle from this point.

Answer 1

Hint: Start with drawing the first circle and use rounder to do the construction.

Given:
Radius of circle = 3cm,
Distance from the center = 7cm,
Steps of construction,
$\left( 1 \right).$Draw a circle 3cm radius and O as its center. From center mark OP = 7cm,
$\left( 2 \right).$Draw perpendicular bisector of the line OP and meet at M.
$\left( 3 \right).$Draw a circle with radius $OM$and cut the circle at A and B.
$\left( 4 \right).$Joint PA and PB.
Hence, PA and PB are the required tangents.

Note: -In such types of questions the key concept we have to remember is that always remember the following steps which are stated above, these steps are the basics of the construction of tangents to the circle from the given point.