OABC is a rhombus, three of whose vertices A, B, C lie on a circle with center O. If the radius of the circle is 10 cm. find the area of the rhombus.

86.6cm²

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80.6cm²

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76.6cm²

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70.6cm²

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Solution

The correct option is A
86.6cm²

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O A B C

A, B

C

O

10

OABC is a rhombus whose three vertices A, B and C lie on a circle with centre O.

(i) If the radius of the circle is 10 cm, find the area of the rhombus.

(ii) If the area of the rhombus is $32 \sqrt{3} c m^{2}$ find the radius of the circle.

In the given figure OABC is a rhombus, three of whose vertices lie on a circle with center O.

If the area of the rhombus is $50 \sqrt{3} c m^{2}$ ,

then the area of the circle is sq cm. (Take $π = 3.14$ )

In the given figure, OABC is a rhombus, three of whose vertices lie on a circle with center O.

If the area of the rhombus is $50 \sqrt{3} c m^{2}$ , then find the area of the circle. (Take $π = 3.14$ )

32 \sqrt{3}

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