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The radii of two concentric circles …

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The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and intersecting the larger circle at P on producing. Find the length of AP.

Posted by Sanyam Kaushik 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 6 years, 11 months ago

R= 8cm
R=13cm
angle ODB= 90 degrees ( BD is tangent)
angle APB =90 degrees ( angle in semicircle)
angle DB0 =ANGLE PBA (COMMON)

SO, BY AA criteria tri APB similar to tri DBO
BY CPST ...... BD/BP=BO/AB= OD/ AP
OD/AP= BO/AB
8/AP=13/26
AP=16 cm

1Thank You

Himanshu Choubey 5 years, 8 months ago

Answer is 19

0Thank You

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