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 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 the figure two concentric circles have their centre at O. The radius of larger circle PR is a chord to the outer Circle PR touches the inner circle at Q, So PR is tangent to the inner circle
OQ = 3cm [Radius of inner circle] and OP = 5cm [Radius of outer circle] Now
PQ = 4 cm PR is a chord to outer circle and as PR PR = 2 X PQ = 2 X 4 = 8 cm |  |
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 3CD + 2AP | |||
| Right Option : A | |||
| View Explanation | |||
If radii of two concentric circles are 8 cm and 5 cm, then the length of the chord of one circle which is tangent to the other circle is _______________ | |||
| Right Option : D | |||
| View Explanation | |||
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 | |||
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