Question

${\textbf{Subject : Mathematics}}$

${\textbf{Chapter : Tangency}}$


A point P is 16 cm from the centre of the circle. The length of tangent drawn from P to the circle is 12 cm. Find the radius of the circle.​

Answer 1

GIVEN: P IS A POINT A DISTANCE OF THE 16CM FROM THE CENTER OF A CIRCLE O THE LENGTH OF TANGENT DRAWN FROM P TO THE CIRCLE IS 12 CM IT IS REQUIRED MEASURE THE RADIUS OF THE CIRCLE. NOW, LOTP 90 A TANGENT TO A CIRCLE IS TO TO RADIUS THE POINT OF CONTACT). .. IN RIGHT ANGLE

A TANGENT TO A CIRCLE IS TO TO RADIUS THE POINT OF CONTACT). '. IN RIGHT ANGLE TRIANGLE OTP, OP • = OTZ + TP2 OR, 16 ° = OT? + (12)? OR, 256 - 144 = OT? OR, 112 = OT? -. T = 10. 89 CM HENCE, RADIUS = 10. 89 CM

Answer 2

Explanation:

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