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Three equal circles of unit radius touch...

Three equal circles of unit radius touch each other. Then, the area of the circle circumscribing the three circles is:

A

`6pi(2+sqrt3)^(2)`

B

`(pi)/(6)(2+sqrt3)^(2)`

C

`(pi)/(3)(2+sqrt3)^(2)`

D

`3pi(2+sqrt3)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.5
  1. In the given figure, tangent "PT = 5 cm, PA = 4 cm", find AB:

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  2. Two circles of radii 13 cm and 5 cm touch internally each other. Find ...

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  3. Three circles touch each other externally. The distance between their ...

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  4. A circle touches a quadrilateral ABCD. Find the true statement:

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  5. O and O' are the centres of two circles which touch each other externa...

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  6. If AB is a chord of a circle, P and Q are two points on the circle dif...

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  7. In the given figure, AB and CD are two common to the two touching circ...

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  8. CD is direct common tangent to two circles intersecting each other at ...

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  9. O and O' are the centres of circle of radii 20 cm and 30 cm AB = 24 cm...

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  10. In a circle of radius 5\ c m ,\ A B\ a n d\ A C are two chords s...

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  11. In a circle of radious 17 cm, two parallel chords are drawn on o...

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  12. If two equal circles are such that the centre of one lies on e circumf...

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  13. Two circles touch each other internally. Their radii are 2 cm and 3 cm...

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  14. In a circle of radius 21 cm, an arc subtends an angle of 72 at the cen...

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  15. The distance between the centres of equal circles each of radius 3 cm ...

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  16. The number of common tangents that can be drawn to two given circles i...

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  17. ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, the...

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  18. A circle has two parallel chords of lengths 6 cm and 8 cm. If the chor...

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  19. Three equal circles of unit radius touch each other. Then, the area of...

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  20. The radius of a circle is 20 cm. The radii (in cm) of three concentric...

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