Followed your directions @ninc and i got this, but i don't think it's right

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

At a local museum, the total price for one adult and one child is $11. mrs. smith paid for herself and her three children. she spent $19. record the system of equations to be solved and then find the price of an adult and child ticket using either elimination or substitution.

What is the area of the shaded sector?