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OABC is a rhombus whose vertices A, B and C lie on a circle with centre at O. If radius of circle is 10cm. The area of the rhombus
  • a)
    100√3cm2
  • b)
    50cm2
  • c)
    50√3cm2
  • d)
    25√3cm2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
OABC is a rhombus whose vertices A, B and C lie on a circle with centr...
If A, B, and C lie on the circle, O is the center of the circle, and the radius is 10 cm, then OA, OB, OC, AB, and BC must all measure 10 cm because OA, OB, and OC are all radii, and AB and BC are congruent because of congruent sides of a rhombus.
Hence, the area of the rhombus is twice the area of an equilateral triangle with sides that measure 10 cm.
The area of an equilateral triangle of side s is : 
Hence the area of the rhombus is
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OABC is a rhombus whose vertices A, B and C lie on a circle with centre at O. If radius of circle is 10cm. The area of the rhombusa)100√3cm2b)50cm2c)50√3cm2d)25√3cm2Correct answer is option 'C'. Can you explain this answer?
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