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AP,AQ are tangents drawn from an …

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AP,AQ are tangents drawn from an external point A to a circle with centre O and perpendicular to each other. Length of the tangent is 5cm. Then what is the length of the radius ?

Posted by M Dhanashree 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Suryansh Agarwal 6 years, 1 month ago

If we draw the figure for given question we will see a right triangle AOP right angled at P. [It is to be noted that tangent and radius form an angle of 90° at the point of contact.] In ∆AOP Cos ( angle APO ) = AP/OA Cos 45° = 5/OA 1 = 5/OA OA = 5 cm Hence, the radius of the given circle is 5 cm.

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