In the diagram below, the outer circle has radius 3, and the inner circle has radius 2. The triangle is isosceles with the sides not touching the smaller cirale be equal.Then square of the area of darkened region is

One circle has a radius of r, and another circle has a radius of 2r. The area of the larger circle is how many times the area of the smaller circle?

In the figure below, the radius of the bigger circle is (sqrt(2) +1) cm and the radius of all the smaller circles are equal. Each of the smaller circles touches two of the other three smaller circles and the larger circle as shown. Find the area (in cm2) of the shaded portion.

In two concentric circles prove that all chords of the outer circle which touch the inner circle are of equal length.

In two concentric circles prove that all chords of the outer circle which touch the inner circle are of equal length.

Out of the 2 concentric circle the radius of the outer circle is 5cm and the chord AC of the length 8cm is a tangent to the inner circle find the radius of the inner circle

In the following figure, a circle a inscribed in square ABCD and the square is circusmscribed by a circle. If the radius of the smaller circle is r cm, then find the area of the shaded region (in cm^(2) ).

There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct point on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimeters then the area (in square centimeters) of the triangle ABC would be:

The radius of a circle is a side of a square. The ratio of the areas of the circle and the square is

A triangle with side lengths in the ration 3:4:5 is inscribed in circle of radius 3. The area of the triangle is equal to

If the radius of a circle with area 154cm^(2) is equal to the side of a square. Then, the area of the square is