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Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
Given:
A circle of radius 6 cm.
To do:
We have to draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
Solution:
Steps of construction:
(i) Draw a circle with centre $O$ and radius $6\ cm$.
(ii) Take a point $P, 10\ cm$ away from the centre $O$.
(iii) Join $PO$ and bisect it at $M$.
(iv) With centre $M$ and diameter $PO$, draw a circle intersecting the given circle at $T$ and $S$.
(v) Join $PT$ and $PS$.
$PT$ and $PS$ are the required tangents.
Updated on: 10-Oct-2022
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