Question

A parellelogram is inscribed in a circle .If the area of the circle is 42¼πcm ² and one of the sides of the parellelogram is 12 cm. What is the area of parellelogram
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Answer 1

Answer:

Step-by-step explanation:

If PQRS is a parallelogram then if it is inscribed in a circle.

Ref. image

PQ∣∣RS

QR∣∣PS

⇒In ΔPOS & ΔQOR

⇒OP=OQ (radii)

⇒∠POS=∠QOR (vertically opposite angles)

⇒OR=OS (Radii)

⇒ΔPOS≅ΔQOR

then PS=QR

⇒similarly from ΔPOQ and ΔROS

⇒PQ=RS

⇒PQRS is a rectangle