Circles ncert solutions Chapter 10 Exercise 10.2 Question 7
7. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Solution:
In
OA = 5 cm {Radius of bigger circle}
OC = 3 cm {Given radius of smaller circle}
{Radius (OC) is always perpendicular to the tangent (AB) of circle}
Therefore,
is right angled triangle.
We cam use Pythagoras theorem to find AC.
cm
Similarly in
, we can find length of BC which would be equal to 4 cm too.
Therefore, length of AB = AC + BC = 4+4= 8 cm
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