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A circle has its centre at O. A tangent drawn from a point P, which is situated outside the circle, touches the circle at A. If PA = 4 cm and PO = 5 cm, then the length of the radius of the circle is
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- 1 cm.
- 2 cm.
- 3 cm.
- 4 cm.
- 1 cm.
Correct Option: C
According to question , we draw a figure circle with centre O in which a tangent drawn from a point P
OA ⊥ AP
Here , OP = 5 cm.
PA = 4 cm.
From ∆AOP ,
∴ OA = √OP² - AP²
OA = √5² - 4² = √25 - 16
OA = √9 = 3 cm.
