YOGA, YO = 6 cm, OG = 6 cm, ∠O = 55°, ∠G = 55° and ∠A = 55°.

Question

Construct the quadrilaterals with the following measurements and also find their area.

YOGA, YO = 6 cm, OG = 6 cm, ∠O = 55°, ∠G = 55° and ∠A = 55°.

Answer 1

YO = 6 cm,

OG = 6 cm,

∠O = 55°,

∠G = 55°,

∠A = 55°

Steps:

1. Draw a line segment OG = 6 cm
2. At G on DG made an angle ∠OGY = 55°
3. AT G on GO made ∠GOX = 55°.
4. GY and OX meet cut A.
5. At A on OA made ∠OAZ = 55°
6. Drawn an arc of radius 6 cm with center O. It cut AZ at Y. Joined OY.
7. YOGA is the required quadrilateral.

Calculation of Area:

Area of the quadrilateral YOGA = 28.08 cm²