Let x and y be the length and breadth of the rectangle ABCD in a circle having radius r. Let `angleCAB=theta` (Ref. Figure). If `triangle` represent area of the rectangle and r is a constant.
Find `(d triangle)/(d theta)` and `(d^2 triangle)/(d theta^2)`.

Let x and y be the length and breadth of the rectangle ABCD in a circle having radius r. Let angleCAB=theta (Ref. Figure). If triangle represent area of the rectangle and r is a constant. Write triangle in terms of r and theta .

Let x and y be the length and bredth of the rectangle ABCD in a circle having radius r. Let angleCAB=theta (Ref. Figure). If triangle represent area of the rectangle and r is a constant. Hence find the maximum value of triangle .

Let x and y be the length and bredth of the rectangle ABCD in a circle having radius r. Let angleCAB=theta (Ref. Figure). If triangle represent area of the rectangle and r is a constant. Show that the rectangle of maximum area that can be inscribed in a circle of radius r is a square of side sqrt2r .

Let ABCbe an isosceles triangle inscribed ina circle having radius r. Then by figure area of the triangle ABC is triangle Find (d triangle)/(d theta) and (d^2 triangle)/(d theta^2) .

Consider the parametric functions x=acos^3theta and y=bsin^3theta . Find dx/(d theta) .

Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points Find the area of the triangle ABC.

If x=asec^3theta and y=atan^3theta dx/(d theta) , dy/(d theta)

In the figure ABCD is trapezium. Diagonals meet at the point E. Area of triangle CED = 16 cm^2 , Area of triangle AED is 36 cm^2 . Find the area of triangle AED , triangle BEC