The least area of a circle circumscribing any right triangle of area `9/pi` is ___________

The circumference of a circle circumscribing an equilateral triangle is 24pi units dot Find the area of the circle inscribed in the equilateral triangle.

The lateral surface area of a right circular cone = (Total surface area)=__________________.

Let a and b represent the lengths of a right triangles legs. If d is the diameter of a circle inscribed into the triangle, and D is the diameter of a circle circumscribed on the triangle, the d+D equals. (a) a+b (b) 2(a+b) (c) 1/2(a+b) (d) sqrt(a^2+b^2)

Find the equation of the circle circumscribing the triangle formed by the straight line 2x + 3y = 6 with the axes of coordinates. What is the diameter of the circle ?

(vii) Circum-radius of any right-angled triangle is

2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABCD. If the coordinates of A and B are (4,6) and (1,9) resepectively. Find the area of ABCD.

One of the diameters of the circle circumscribing the rectangle ABCD is 4y = x + 7. If A and B are (-3, 4), (5, 4) then find the area of the rectangle.

If in a triangle ABC, AD, BE and CF are the attitude and R is the circum-radius then find the radius of circle circumscribing the triangle DEF.

The ratio of the area of a regular polygon of n sides inscribed in a circle to that of the polygon of same number of sides circumscribing the same is 3:4. Then the value of n is