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In the given figure, CD is the diameter ...

In the given figure, CD is the diameter of a circle with centre O and CD is perpendicular to chord AB. If AB `=` 12 cm and `CE = 3 cm` then radius of the circle is

A

6 cm

B

9 cm

C

7.5 cm

D

8 cm

Text Solution

Verified by Experts

The correct Answer is:
C
Let OA`=OC = r` cm . Then, `OE = ( r-3) ` cm AE `= (1)/(2) AB = 6 cm`.
Now, `OA^(2) = OE^(2) +AE^(2) implies r^(2) = (r-3)^(2) +6^(2)`
`implies 6r= 45implies r= (45)/(6)= 7.5cm`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
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  2. AB and CD are two equal to chord of a circle with centre O such that ...

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  3. In the given figure, CD is the diameter of a circle with centre O and...

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  4. In the given figure, O is the centre of a circle and diameter AB bisec...

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  5. In the given figure, BOC is a diameter of a circle with centre O . If ...

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  6. In the given figure, AB is a chrod of a circle with centre O and AB is...

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  7. In the given figure, AB is a chord of a circle with centre O and BOC i...

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  8. In the given figure, Delta ABC and Delta DBC arre inscribed in a circ...

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  9. In the given figure, BOC is a diameter of a circle with centre O. If /...

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  10. In the given figure, O is the centre of a circle . If / OAC = 50^(@) t...

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  11. In the given figure, O is the centre of a circle in which / OBA = 20^(...

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  12. In the given figure, O is the centre of a circle. If / AOB = 100^(@) a...

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  13. In the given figure, O is the centre of a circle . The, / OAB = ?

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  14. In the given figure, O is the centre of a circle and / AOC = 120^(@) ....

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  15. In the given figure, O is the centre of a circle and / OAB=50^(@). The...

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  16. In the given figure, AB and CD are two intersecting chords of acircle...

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  17. In the given figure, O is the centre of a circle and chords AC and BD ...

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  18. In the given figure, O is the centre of a circle in which / OAB = 20^(...

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  19. In the given figure, AOB is a diameter and ABCD is a cyclic quadrilate...

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  20. In the given figure, ABCD is a cyclic quadrilateral in which AB || DC ...

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