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)100andradic;3cm2b)50cm2c)50andradic;3cm2d)25andradic;3cm2Correct answer is option 'C'. Can you explain this answer?

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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?

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UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 19 (June 1, 2021)

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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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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? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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