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?

- 6
- 4
- 24.5
- 20.5
- 12.5

The radius of the circle that circumscribes the triangle is 20.5.

@ INR

9, 40, and 41 is a Pythagorean triplet. So, the triangle is right angled.

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.

Copyrights © 2016 - 21 All Rights Reserved by Wizako.com - An Ascent Education Initiative.

Privacy Policy | Terms & Conditions

GMAT^{®} is a registered trademark of the Graduate Management Admission Council (GMAC). This website is not endorsed or approved by GMAC.

GRE^{®} is a registered trademarks of Educational Testing Service (ETS). This website is not endorsed or approved by ETS.

SAT^{®} is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product.

Wizako - GMAT, GRE, SAT Prep

An Ascent Education Initiative

14B/1 Dr Thirumurthy Nagar 1st Street

Nungambakkam

Chennai 600 034. India

**Phone:** (91) 44 4500 8484

**Mobile:** (91) 95000 48484

**WhatsApp:** WhatsApp Now

**Email:** learn@wizako.com

Leave A Message