two concentric circles of radii 5cm and 3cm
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60
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Given
- Radius of smaller circle = 3cm
- Radius of larger circle = 5cm
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To find
- Length of chord of the larger circle.
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Solution
- According to the figure, we need to find the length of PQ.
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★ As we can see that ∆OAP is a right angled triangle.
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- Therefore, in triangle OAP.
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- As we can see in the figure, that OA is the perpendicular bisector of PQ.
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Therefore,
- The length of chord of the larger circle is 8cm.
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Hence,
- Option (c) is the correct option.
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Anonymous:
Well explained !
Answered by
9
★Given that,two concentric circles are of radii 5cm and 3cm.
To Find:- length of the chord of the larger circle, (in cm), which touches the smaller circle is.?
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solution:
now,let the radius of the bigger circle be R and the radius of the smaller circle be r
as it is given that R= 5cm = OB and r = 3cm= OD
and AB is the chord whose length is to be found.
AB=BD and OD ⟂ AB
therefore,triangle OBD is right angled.
where, OD²+BD²=OB²
Since, AD= BD=4cm
therefore ,AB=AD+BD
⇒AB= 4+4cm
⇒AB=
hence option c 8cm is correct.!
hope this helps.!!
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