Question

In $\Delta ABC$, angle $B$ is obtuse. The smallest circle which covers the triangle is the

• A. Circumcircle
• B. Circle with $AB$ as diameter
• C. Circle with $BC$ as diameter
• D. Circle with $AC$ as diameter

Answer 1

Answer: (A)

Circumcircle

Draw a triangle $ABC$ and obtuse angle at $B$.

Draw perpendicular bisectors of three sides of a triangle $ABC$.

Name the point of intersection of these bisectors as $O$.

And try to draw a circle which passes through three sides $AB,BC,AC$ as shown in the figure.

The resulting circle will be a circumcircle and is the smallest circle which covers the triangle.