Question

The line AB is 6 m in length and is tangent to the inner one of the two concentric circle at point C. It is known that the radii of the two circles are integers. The radius of the outer circle.​

Answer 1

Answer:

SOLUTION :-

Step-by-step explanation:

Let x meters and y meters be the radius of the outer and inner circles respectively and O be their center.

In right angled triangle OCB,

CB2= OB2 – OC2

9 = x2 – y2

(x + y) (x – y)= 9 *

As x and y are integers, therefore x + y = 9 and x – y = 1.

Thus, x = 5

Hence radius of the outer circle is 5 meters.

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