Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A circle is circumscribing a triangle whose sides are 30 cm, 40 cm and 50 cm. Find the circumference of the circle.

Options:

100π cm

50π cm

25π cm

75π cm

Correct Answer:

50π cm

Explanation:

We know that,

If a triangle has sides 30, 40 and 50 then it is a right angled triangle.

The radius of circumcircle of this triangle = \(\frac{ Hypotenuse }{2}\)

R = \(\frac{ 50}{2}\) = 25 cm

so the circumference of this circle = 2 ×  π ×  25 cm = 50π cm.