Prove that the least perimeter of an isosceles triangle in which a circle of radius r can be inscribed is `6sqrt3r`.

Prove that the least perimeter of an isosceles triangle in which a circle of radius r can be inscribed is 6sqrt(3)r.

Area of an equilateral triangle inscribed in a circle of radius a is

An equilateral triangle is inscribed in a circle of radius 6cm. Find its side.

What is the perimeter of a quadrant of a circle of radius 'r' ?

What is the area of a regular hexagon inscribed in a circle of radius r ?

Show that the rectangle of maximum perimeter which can be inscribed in a circle of radius a is a square of side sqrt(2)a