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Find the area of the circle passing through centers of three circles with radius 2 m, 3 m and 10 m placed in such a way that each circle touches the other two circles externally.
  • a)
    225 π/4
  • b)
    36 π
  • c)
    169 π / 4
  • d)
    Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find the area of the circle passing through centers of three circles w...

 
As per the given condition above diagram will be formed. So lines joining the centers of three circles will form right angle triangle as 5, 12, and 13 which is a Pythagorean triplet. So the circle passing through the centers of these circles will be passing through the vertex of this right angle triangle. So the diameter of such circle is hypotenuse of triangle which is 13 cm.Thus radius 6.5 cm and hence area will be π (13/2)2 = 169 π /4
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Find the area of the circle passing through centers of three circles w...

 
As per the given condition above diagram will be formed. So lines joining the centers of three circles will form right angle triangle as 5, 12, and 13 which is a Pythagorean triplet. So the circle passing through the centers of these circles will be passing through the vertex of this right angle triangle. So the diameter of such circle is hypotenuse of triangle which is 13 cm.Thus radius 6.5 cm and hence area will be π (13/2)2 = 169 π /4
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Community Answer
Find the area of the circle passing through centers of three circles w...

 
As per the given condition above diagram will be formed. So lines joining the centers of three circles will form right angle triangle as 5, 12, and 13 which is a Pythagorean triplet. So the circle passing through the centers of these circles will be passing through the vertex of this right angle triangle. So the diameter of such circle is hypotenuse of triangle which is 13 cm.Thus radius 6.5 cm and hence area will be π (13/2)2 = 169 π /4
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Find the area of the circle passing through centers of three circles with radius 2 m, 3 m and 10 m placed in such a way that each circle touches the other two circles externally.a)225 π/4b)36 πc)169 π / 4d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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