Mathematics
Grey Kangaroo
2022
13

13

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 1/3% E 35%

Answer

B

SOLUTIOn

The area of the circle inside the triangle is 45% of the total area of the diagram. The area of the circle outside the triangle is (100 − 40 − 45)% = 15% of the total area of the diagram. Therefore, the percentage of the circle that lies outside the triangle is 15/(15 + 45) × 100 = 25%.

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