Prove that the area of a regular polygon hawing `2n` sides, inscribed in a circle, is the geometric mean of the areas of the inscribed and circumscribed polygons of `n` sides.

Given that the area of a polygon of n sides circumscribed about a circle is to the area of the circumscribed polygon of 2n sides as 3:2 find n.

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

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 6 (b) 4 (c) 8 (d) 12

The side length of a square inscribed in a circle is 2. what is the area of the circle?

If a square of side 10 is inscribed in a circle then radius of the circle is

Let A_n be the area that is outside a n-sided regular polygon and inside its circumscribeing circle. Also B_n is the area inside the polygon and outside the circle inscribed in the polygon. Let R be the radius of the circle circumscribing n-sided polygon. On the basis of above information, answer the equation If n=6\ then A_n is equal to R^2((pi-sqrt(3))/2) (b) R^2((2pi-6sqrt(3))/2) R^2(pi-sqrt(3)) (d) R^2((2pi-3sqrt(3))/2)

An equilateral triangle with side 12 is inscribed in a circle . Find the shaded area .

A reactangle with one side 4 cm is inscribed in a circle of radius 2.5 cm. Find the area of the rectangle

A circle is inscribed in a square of area 784cm^(2) Find the area of the circle.

Find the sum of the radii of the circles, which are respectively inscribed and circumscribed about the a regular polygon of n sides.