Yes.
6.5 units
Draw two diameters of the circle and join the points where they meet the circumference.
It is 2*r^2.
No. For example, if one angle measures 100 degrees, and its adjacent angle is 80 degrees, then the opposite angles would be either 200 or 160 degrees, but in order for a quadrilateral to be inscribed in a circle the opposite angles would have to equal 180 degrees. A parallelogram can be inscribed in a circle if it is a rectangle.
if a parallelogram is inscribed in a circle it is always a rectangle...............
Yes.
If a parallelogram is inscribed in a circle then it must be a cyclic quadrilateral.
Yes. The corners must be right angles for it to be inscribed on the circle.
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C programming
the diagonal of the rectangle will be the diameter of the circle which equals 5 so the circumference will be 5pie or 15.70units.
True.
6.5 units
Draw two diameters of the circle and join the points where they meet the circumference.
It is 2*r^2.
The largest rectangle would be a square. If the circle has radius a, the diameter is 2a. This diameter would also be the diameter of a square of side length b. Using the Pythagorean theorem, b2 + b2 = (2a)2. 2b2 = 4a2 b2 = 2a2 b = √(2a2) or a√2 = the length of the sides of the square The area of a square of side length b is therefore (√(2a2))2 = 2a2 which is the largest area for a rectangle inscribed in a circle of radius a.
112cm2