From a point P, the length of the tangent to a circle is 15 cm and distance of P from the centre of the circle is 17 cm. Then what is the radius of the circle?
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1
Answer is 8 cm.
Since, the tangent of any point of a line is perpendicular to the radius through the point of contact. Hence, radius of the circle = 8 cm.
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Answered by
4
Answer:
by Pythagoras theorem
Step-by-step explanation:
OQ^2 =OP^2 +PQ^2
(17)^2=OP^2 +(15)^2
OP^2=(17)^2-(15)^2
289-225=65=OP=8cm
HENCE , RADIUS OF THE CIRCLE =8CM
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