Question

OPQR is a rhombus whose 3 vertices PQR lie on a circle with center 'O'.if the radius of the circle is 10 cm find the area of the rhombus?

Answer 1

Answer:

□ OPQR is a Rhombus RO = OP = OR = PQ

(sides of Rhombus)

OQ = R (Radius)

Δ RQO and Δ.QOP are equilateral triangles.

∴

4

3

R

2

+

4

3

R

2

=32

3

4

3

R

2

=32

3

⇒R=8cm