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Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of $45^o$.
Given:
A circle of radius 4.5 cm.
To do:
We have to draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of $45^o$.
Solution:
Angle at the centre $180^o - 45^o = 135^o$.
Steps of construction:
(i) Draw a circle with centre $O$ and radius $4.5\ cm$.
(ii) At $O$, draw an angle $TOS = 135^o$
(iii) At $T$ and $S$ draw perpendiculars which meet each other at $P$.
$PT$ and $PS$ are the tangents that are inclined to each other at an angle of $45^o$.
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