Draw a circle of radius 4 cm. Construct the two tangents to the circle from a point P which is at the distance of 7 cm from centre. Measure the length of the tangents. [5 Marks]

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Solution

Draw a circle of radius 4 cm and mark its centre as O.

Mark a point P outside the circle such that OP is 7 cm.

Join OP.

Bisect OP at C.

Taking C as centre and OC as the radius draw a circle which intersects the previous circle at T and T’.

Join PT and PT’ which are the required tangents. Measure PT and PT’. It will be equal to 5.7 cm (approx.)

(5 marks)
Alternate Method -
Since OT is perpendicular to TP
We can use Pythagoras Theorem, In $△ O T P$
$P T^{2} = 7^{2} - 4^{2}$

PT = $\sqrt{33}$ = 5.7 (approx)

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