This GMAT quant practice question is a problem solving question in Geometry. Concept: Radius of circle that circumscribes a triangle.

#### Question: What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

- 6
- 4
- 24.5
- 20.5
- 12.5

#### Explanatory Answer

Video explanation will be added soon9, 40 and 41 is Pythagorean triplet. So, the triangle is right angled.

Key property about right triangles

In a right angled triangle, the radius of the circle that circumscribes the triangle is half the hypotenuse.

In the given triangle, the hypotenuse = 41.

Therefore, the radius of the circle that circumscribes the triangle = \\frac{41}{2}\\) = 20.5 units.

Choice D is the correct answer.

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