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A rectangle ABCD is inscribed in a circle with centre O. If AC is the diagonal and ∠BAC = 30°, then the radius of the circle will be equal to:
  • a)
  • b)
    BC
  • c)
    √3BC
  • d)
    2 BC
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A rectangle ABCD is inscribed in a circle with centre O. If AC is the...
Join B and O
Then ∠BOC = 2 ∠BAC = 60°
Draw OM ⊥ from O on BC then BM =
∴ ∠BOM = 30°
From ∆ BMO
∴ OB = 2 BM
So radius of circle will be equal to BC.
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A rectangle ABCD is inscribed in a circle with centre O. If AC is the diagonal and ∠BAC = 30°, then the radius of the circle will be equal to:a)b)BCc)√3BCd)2 BCCorrect answer is option 'B'. Can you explain this answer?
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