Finding the area

Question

You The shape is made from a circle of radius 4cm and an isosceles triangle with a base of 9 cm. Vertex A is at the centre of the circle and angle BAC is 30 degrees. Find the area of the shape.

 

Answer 1

From what I can gather, this is isosceles triangle with its vertex angle at the circle center A and it's base angles located outside the circle of radius 4cm, so it's NOT inscribed inside the circle. (Base is too large for it to be inscribed inside a circle of radius 4cm)

 

You appear to have enough information to solve for the area of the isosceles triangle.

 

A = (1/2)(b)(h) = (1/2)(9cm)(4.5•tan15°) ≈75.57cm²