Question

The radii of two concentric circles are 13 and 8.A chord of the outer circle touches the inner circle. Find the length of that chord​

Answer 1

Answer:

the answer that your looking for is root 322

Answer 2

Step-by-step explanation:

Fromthefigure

ODistheradiusofsamllercircle

andBDisthetangenttothesmallercircle

so,OD⊥BD

∴∠ODB=90

∘

and,

InthebiggercirclePisapointinthesemi−circleofthebiggercircle

∴∠APB=90

∘

InΔABPandΔOBD

∠APB=∠ODB=90

∘

∠ABP=∠ODB(common)

ΔABP∼ΔOBD(AAsimilarity)

Now,

OD

AP

=

OB

AB

8

AP

=

13

26

AP=2×8

=16 cm