Area of segment

Find the area of light green segment correct to three significant figures.

Given that: An isosceles triangle is inscribed in a circle such that AB=AC;

 

  Line XY and BC are parallel,

 

Where BC is =20cm,

AP is a perpendicular to BC and at D and passing through center of the circle. 

The area of Triangle AXY= (4428/35) cm2

 

 Area of segment Brown segment BC= (38.53357802) cm2 .

 

This question requires Algebra, properties of circle and manipulation skills to deal with  similarity and congruency.

 

Given options

 

A=347 cm²

 

B=285 cm²

 

C=372 cm²

 

D=430 cm²

 

E=257 cm²