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In the given figure, `O` is the centre of a circle and diameter `AB` bisects the chord `CD` at a point `E` such that `CE` = `CD` = `8 cm` and `EB` `=` `4 cm`. The radius of the circle is

A

`10 cm`

B

`12 cm`

C

`6 cm`

D

`8 cm`

Text Solution

Verified by Experts

The correct Answer is:
A
Let the radius of the circle be r cm.
Then, `OD = OB = rcm , OE = (r-4) cm, ED= 8 cm`.
Now, `OD^(2) = OE^(2) + ED^(2) impliesr^(2) = (r-4) +8^(2)`
`:. 8r= 80 implies r= 10cm`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
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  2. In the given figure, CD is the diameter of a circle with centre O and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. In the given figure, O is the centre of a circle and/ AOC = 130^(@) . ...

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