SOLUTION: OABC is a rhombus whose three vertices A,B,C lie on a circle with centre O. If the radius of the circle is 10 cm, find the area of rhombus.
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Question 370627: OABC is a rhombus whose three vertices A,B,C lie on a circle with centre O. If the radius of the circle is 10 cm, find the area of rhombus.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
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
John
My calculator said it, I believe it, that settles it
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