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UKMT Grey Kangaroo, 2022

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The area of the intersection of a triangle and a circle is 45% of the total area of the diagram. The area of the triangle outside the circle is 40% of the total area of the diagram. What percentage of the circle lies outside the triangle?

(A) $20\%$ (B) $25\%$ (C) $30\%$ (D) $33\frac{1}{3}\%$ (E) $35\%$

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