Question

In the adjoining figure, circles with centres A and C touch internally at T. AB is tangent to the smaller circle at P . point B lies on the bigger circle. radii are 16 cm and 6 cm . find AP.

Answer 1

Hey...


The answer is here...


construction = join PC.

Now AB is a tangent to circle with centre C
Angle APC= 90 degree..........tangent theorem
In right angle triangle APC,
AC=10Cm
PC=6cm

${ap }^{2} + {pc }^{2} = {ac}^{2}$
by using above pythagoras theorem,
we get,
AP =8cm

Answer 2

Answer:

Ac = 16

PC = 6

by using Pythagoras theorem we get

Ap = 8 units