Question

all the vertices of a rhombus lie on a circle find the area of rhombus if area of circle is 616 sq.cm​

Answer 1

7799.27cm2

Explanation:

Rhombus is a cyclic Quadrilateral here

⇒ Opposite angles sum=180o⇒A+C=180o

Also as AB∣∣CD⇒A+B=180o⇒B=C

⇒ Adjacent angles of rohmbus are equal ⇒ it is square

∠B=90o⇒∠B is a angle in a semicircle.

⇒  AC and BD are diameters.

⇒ Diagonals bisect at o, center of circle.

In ΔAOB,AB2=AO2+OB2=r2+r2=2r2⇒AB2r

Area of circle =πr2=1256⇒r2=r1256

Area of square =AB2=2r2=π2×1256=222×1256×7=799.27cm2

Hope it helps:)

Answer 2

all the vertices of a rhombus lie on a circle find the area of rhombus if area of circle is 616 sq.cm​

Answer:

let radius be r

Explanation: