Question

two concentric circles are of radii 6.5 cm and 5 cm and the find the length of the chord of the larger circle which touches the smaller circle

with diagram ​

Answer 1

Answer:

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Step-by-step explanation:

Let O be the center of circle. Draw two concentric circles are of radii 6.5cm and 2.5cm, and

$$AB =$$ Chord of the larger circle which touches the smaller circle at C.

From Figure:

OC= radius =2.5cm

OA=6.5cm

AC=CB

OC⊥AB and OC bisects AB at C.

In right ΔOPT,

By Pythagoras Theorem:

OA

2

=OC

2

+AC

2

6.5

2

=2.5

2

+AC

2

42.25=6.25+AC

2

AC=6

Length of chord of a circle =AB=2×AC=2×6=12cm.