Concentric Circles Problems
Concentric Circles Problems
Concentric Circles: The circle which have common centre point and different radius are called concentric circles.
Illustration: Two concentric circles with centre O have, A, B, C, D as the points of intersection with the line l as shown in the diagram. If AD = 12 cm and BC = 8 cm, find the lengths of AB, CD, AC and BD.
SOLUTION Since Similarly, Now, Also, and, |  |
Illustration: Two concentric circles and
with centre O have, A, B, C, D as the points of intersection with the line l as shown in the diagram. If AD = 8 cm and BC = 6 cm, and the distance of the chord from centre is 2 cm,find the length of radius of two circles.
SOLUTION Since Similarly, Now
Now
Hence radius of circle
| |
The figure shows two concentric circles and AD is a chord of larger circle. If the length of AP = 10 cm and BP = 3cm. Find the value of CD. | |||
| Right Option : D | |||
| View Explanation | |||
If radii of two concentric circles are 4 cm and 5 cm, then the length of the chord of one circle which is tangent to the other circle is | |||
| Right Option : B | |||
| View Explanation | |||
The figure shows two concentric circles and AD is a chord of larger circle. If the length of AB = 3 cm. Find the value of CD. | |||
| Right Option : B | |||
| View Explanation | |||
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