Question

Area of an isosceles triangle inscribed in circle find area of circle

Answer 1

║⊕ANSWER⊕║

• In my diagram C is the centre of the circle and x is the distance from C to A.
• Since the triangle is isosceles A is the midpoint of the base.
• Let b = |AB| then b is half the length of the base of the isosceles triangle.

From the diagram h = R + x. Triangle ABC is a right triangle so using Pythagoras theorem

x2 + b2 = R2

Substitute x = h - R and solve for b.

The area inside the circle but outside the triangle is

π R2 - bh

Substitute the value of b you found above and simplify.