OABC is a rhombus whose vertices a,b,c lie on a circle with centre O if the radius of the circle is 10cm. find area

Dear Student,

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:

Regards

Team Topperlearning