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Question
The length of the tangent from point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is ______
Options
`sqrt7` cm
7 cm
5 cm
25 cm
Solution
The length of the tangent from point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is 5 cm.
Explanation:
Given that AB = 4 cm, OB = 3 cm
To find OA
Applying Pythagoras theorem to triangle OAB
OB2 + AB2 = OA2
32 + 42 = OA
OA2 = 25
OA = 5 cm
Therefore the distance of A from the centre of the circle is 5 cm.
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