JIPMAT 2024 (QA) - An equilateral triangle A B C is inscribed in a circle of radius 20 sqrt(3) ~cm. The centroid of the triangle A B C is at a distance d from the vertex A. then d is equal to ? | PYQs + Solutions

JIPMAT 2024

Geometry

Triangles

Medium

An equilateral triangle $A B C$ is inscribed in a circle of radius $20 \sqrt{3} \mathrm{~cm}$ . The centroid of the triangle $A B C$ is at a distance $d$ from the vertex $A$ . then $d$ is equal to ?

15 \mathrm{~cm}

20 \mathrm{~cm}

20 \sqrt{3} \mathrm{~cm}

30 \sqrt{3} \mathrm{~cm}

Correct Option: 3

When an equilateral triangle in inscribed in a circle, the centroid is the same as the circle's center.

Hence, the radius of the circle

=

vertex of triangle to centroid

= 20 \sqrt{3}

cm.