# GMAT Quant Questions | Geometry #3

#### Radius of the Circumcircle | Geometry Triangles, Circles | GMAT Sample Questions

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

Question 3: What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40, and 41?

1. 6
2. 4
3. 24.5
4. 20.5
5. 12.5

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### Explanatory Answer | GMAT Geometry

9, 40, and 41 is a 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{\text{41}}{\text{2}}$ = 20.5 units. #### Choice D is the correct answer. #### GMAT Online CourseTry it free! Register in 2 easy steps and Start learning in 5 minutes! #### Already have an Account? #### GMAT Live Online Classes Next Batch July 20, 2024 Work @ Wizako ##### How to reach Wizako? Mobile:$91) 95000 48484
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