Find the dimensions of the rectangle of ...

Find the dimensions of the rectangle of maximum area that can be inscribed in a semicircle of radius r.

Verified by Experts

The correct Answer is:

Length `=sqrt(2)r` and breadth `=(r )/(Sqrt(2))`

Similar Questions

Explore conceptually related problems

Find the dimensions of the rectangle of maximum perimeter that can be inscribed in a circle of radius a.

The length of the rectangle of maximum area that can be inscribed in a semicircle of radius 1 unit, so that two vertices lie on the diameter, is-

The height of the cylinder of maximum volume that can be inscribed in a sphere of radius a, is-

Show that the height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 16 cm .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))

Prove that the triangle of maximum area that can be incsribed in a given circle is an equilateral triangle.

If one vertex of the triangle having maximum area that can be inscribed in the circle |z-i|=5 is 3-3i , then find the other vertices of the triangle.

The maximum area of a rectangle that can be inscribed in a circle of radius 2 unit is (in sq unit)