Is it possible for a rectangle circumscribed about a circle to be a square?
In the figure, we got a circle with centre O where the rectangle ABCD touches the circle at points P, Q, R, S. We know that the theorem of the tangent of a circle tells us that the length of the two tangents on a circle from an outside point will be equal. Thus proved, the rectangle circumscribing a circle is a square.
How do you prove that a rectangle circumscribes a circle?
Prove that a rectangle circumscribing a circle is a square
- AP=AS,BP=BQ,CR=CQ.
- DR=DS.
- ⇒AP+BP+CR+DR=AS+BQ+CQ+DS.
- Q⇒AB+CD=AD+CB.
- AB=CD.
- AD=CB.
- ∴AB=AD.
- ABCD.
Can a rectangle fit in a circle?
if all the 4 corners of the rectangle are inside the circle place it. (it fits) if the left bottom corner is not inside the circle, push it up till it is in the circle.
What is the area of a circle inscribed in a rectangle?
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units. The area of a circle of radius r units is A=πr2 .
How is the circumcircle of a square determined?
The center of the circumcircle is the point where the two diagonals of a square meet. Circumscribed circle of a square is made through the four vertices of a square. The radius of a circumcircle of a square is equal to the radius of a square. where, r is the radius of the circle in which a square is circumscribed by circle.
What is the meaning of circumscribed in geometry?
These geometrical shapes could be a circle, a square, a triangle, a rectangle or a quadrilateral. The meaning of circumscribed in Geometry is drawing a figure around another figure in such a way that the drawn figure touches the outer line or points of the inside figure without intersecting it. It should limit the inside shape within itself.
How is a quadrilateral said to be circumscribed in math?
A quadrilateral which surrounds a circle, in such a way, that the sides of the quadrilateral are tangent to the circle. Then it is said to be circumscribed. We can see in the figure above quadrilateral circumscribing the circle. Here the sides of the quadrilateral are tangent to the circle.
Which is the center of a circumcribed circle?
The center of the circumcircle is the point where the two diagonals of a square meet. Circumscribed circle of a square is made through the four vertices of a square. The radius of a circumcircle of a square is equal to the radius of a square.