• Geometry
  • Circles
  • Circles and Quadrilaterals

Circles and Quadrilaterals

ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
4
5
6
+
1
2
3
=
0
.
auto next question
evaluate answers
calculator
  • 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 $7 m \times 4 m$ and it is covered with circular tiles of diameters $10$ cm each as shown in the picture. We can find the area of floor that remains uncovered with the following expression. $$\left(7\cdot 4-28\cdot 5^{2}\pi\right)cm^{2} $$
  • Question 3:
    1 pts
    ̉he area of the circle inscribed in a square of side $a cm$ is $\pi a^{2} cm^{2}$.
  • Question 4:
    1 pts
    The perimeter of a square circumscribing a circle of radius$a cm$ is $8 a cm.$
  • Question 5:
    2 pts
    Find $x$ and $y$ on the shown picture.
    $x=8^{\circ}, y=15^{\circ}$
    $x=8^{\circ}, y=7^{\circ}$
    $x=15^{\circ}, y=7^{\circ}$
    $x=7^{\circ}, y=15^{\circ}$
  • Question 6:
    2 pts
    The circumference of the circle described around the rectangle is $26\pi cm$. Find the area of that rectangle if his sides are in the ratio $5:12.$

    $A=5\cdot 24=120cm^{2}$

    $A=12\cdot 20=240cm^{2}$

    $A=15\cdot 8=120cm^{2}$

    $A=10\cdot 24=240cm^{2}$

  • Question 7:
    2 pts
    Find the length of the broken line shown on the picture. ($ABCD$ is rectangle)
    The length of the broken line is $=$
  • Question 8:
    2 pts
    Find the length of the broken line shown on the picture. ($ABCD$ 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.$$4r^{2}=r^{2}+9\cdot 3 \Longrightarrow r=3cm $$ $$O=3\cdot(4+\pi)cm $$
  • Question 11:
    3 pts
    In the following picture, a circle is inscribed in a square of side $5 cm$ 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.
    $A=$