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  • Geometry
  • Circles
  • Circles and Quadrilaterals

Circles and Quadrilaterals

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  • Question 1:
    1 pts
    		A quadrilateral is inscribed in a circle if and only if the opposite angles are supplementary.
  • Question 2:
    1 pts
    		Floor of a room is of dimensions and it is covered with circular tiles of diameters cm each as shown in the picture. We can find the area of floor that remains uncovered with the following expression.
  • Question 3:
    1 pts
    		�he area of the circle inscribed in a square of side is .
  • Question 4:
    1 pts
    		The perimeter of a square circumscribing a circle of radius is
  • Question 5:
    2 pts
    		Find and on the shown picture.
  • Question 6:
    2 pts
    		The circumference of the circle described around the rectangle is . Find the area of that rectangle if his sides are in the ratio

  • Question 7:
    2 pts
    		Find the length of the broken line shown on the picture. ( is rectangle)
    The length of the broken line is
  • Question 8:
    2 pts
    		Find the length of the broken line shown on the picture. ( is square)
    The length of the broken line is
  • Question 9:
    3 pts
    		Find the area of the circle inscribed in the rhombus shown on the picture
  • Question 10:
    3 pts
    		The following expression can be used to find the perimeter of the shaded area shown on the picture.
  • Question 11:
    3 pts
    		In the following picture, a circle is inscribed in a square of side and another circle is circumscribing the square. Is it true to say that area of the outer circle is two times the area of the inner circle?
  • Question 12:
    3 pts
    		Find the area of the flower bed (with semi-circular ends) shown on the picture.

Triangle

Quadrilateral

Circle

Polygons