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Three circles each of radius 3.5 cm touch one another. The area subtended between them is 
  • a)
    6 (√3π - 2) square units
  • b)
    6 (2π - √3) square units
  • c)
    49/8 (2√3 - π) square units
  • d)
    49/8 (√3 - π) square units
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Three circles each of radius 3.5 cm touch one another. The area subten...

Area subtended between the circles = (Area of triangle ABC) - (Area of 3 sections of the circle)
⇒ (√3/4) × 72 - 3 × 1/6 × (π × (3.5)2)
⇒ (49/4) × √3 - (49/8) × π
⇒ 49/8 (2√3 – π) square units
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Three circles each of radius 3.5 cm touch one another. The area subtended between them isa)6 (√3π - 2) square unitsb)6 (2π - √3) square unitsc)49/8 (2√3 - π) square unitsd)49/8 (√3 - π) square unitsCorrect answer is option 'C'. Can you explain this answer?
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Three circles each of radius 3.5 cm touch one another. The area subtended between them isa)6 (√3π - 2) square unitsb)6 (2π - √3) square unitsc)49/8 (2√3 - π) square unitsd)49/8 (√3 - π) square unitsCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Three circles each of radius 3.5 cm touch one another. The area subtended between them isa)6 (√3π - 2) square unitsb)6 (2π - √3) square unitsc)49/8 (2√3 - π) square unitsd)49/8 (√3 - π) square unitsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three circles each of radius 3.5 cm touch one another. The area subtended between them isa)6 (√3π - 2) square unitsb)6 (2π - √3) square unitsc)49/8 (2√3 - π) square unitsd)49/8 (√3 - π) square unitsCorrect answer is option 'C'. Can you explain this answer?.
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