Question

Assertion (A) : The maximum area of the triangle inscribed in a circle of radius 2 units is $3\sqrt{3}$ square units
Reason (R): The maximum triangle which isinscribed in a circle of given radius is equilateral

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true and R is not the correct explanation of A
• C. A is true and R is false
• D. A is false and R is true

Answer 1

The correct option is A Both A and R are true and R is the correct explanation of A

We know that "The isosceles triangle of maximum area that can be inscribed in a given circle is an equilateral triangle "
So, reason statement is true.
Maximum area of equilateral triangle $=a^{2}sin2\theta +\frac{a^2}{2}sin4\theta$
$=3\sqrt{3}$ sq.units