Give a rectangle with length l & breadth b, which inscribes a rhombus, which in turn inscribes a circle. The task is to find the radius of this circle.
Input: l = 5, b = 3 Output: 1.28624 Input: l = 6, b = 4 Output: 1.6641
Approach: From the figure, it is clear that diagonals, x & y, are equal to the length and breadth of the rectangle.
Also radius of the circle, r, inside a rhombus is = xy/2√(x^2+y^2).
So, radius of the circle in terms of l & b is = lb/2√(l^2+b^2).
Below is the implementation of the above approach:
- Area of the biggest possible rhombus that can be inscribed in a rectangle
- The biggest possible circle that can be inscribed in a rectangle
- Largest ellipse that can be inscribed within a rectangle which in turn is inscribed within a semicircle
- Area of a circle inscribed in a rectangle which is inscribed in a semicircle
- Radii of the three tangent circles of equal radius which are inscribed within a circle of given radius
- Area of circle inscribed within rhombus
- Area of the biggest ellipse inscribed within a rectangle
- Largest right circular cylinder that can be inscribed within a cone which is in turn inscribed within a cube
- Largest sphere that can be inscribed within a cube which is in turn inscribed within a right circular cone
- Radius of the inscribed circle within three tangent circles
- Biggest Reuleaux Triangle within a Square which is inscribed within a Circle
- Biggest Reuleaux Triangle inscribed within a square which is inscribed within an ellipse
- Biggest Reuleaux Triangle inscribed within a square which is inscribed within a hexagon
- Area of a triangle inscribed in a rectangle which is inscribed in an ellipse
- Area of a square inscribed in a circle which is inscribed in an equilateral triangle
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