Lista de exercícios do ensino médio para impressão
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The length of the arc $\,\stackrel \frown{AB}\,$, as in the picture, is 22 cm and O is the center of the circle. The perimeter of the circle (circumference) is:
circle with short arc AB 45 deg
a)
990 cm
b)
67 cm
c)
176 cm
d)
88 cm
e)
none of these answers

 



answer: Answer (C)
×
The radius of the circle C in the picture is 16 cm and the point P is located 7 cm far from the center O.
What is the distance between P and the circunference of the circle C?
circle C width center O and a point P excentric inside

 



answer: 9 cm

×
What is the radius of the following circle which center is O,
given that:
AB = 3x - 3 and
OA = x + 3.
circle which center is O and diameter is AB

 



answer: 12

×
Find x in the following cases:
a) s is perpendicular to $\;\overline{AB}\,$
circle of center O with chord AB and line s perpendicular to AB
b) $\,\overline{PA}\,$ and $\,\overline{PB}\,$ are tangent segments to the circle
external point P intersection of two tangent segments to the circumference with center O

 



answer: a) 6b) 9
×
The circles in the picture are externally tangent. The distance between the centers $\,\overline{OC}\,$ is 28 cm and the difference between their radii is 8 cm. Find the length of each radius.
two circles that are tangent to each other externally

 



answer: 18 cm and 10 cm
×
Knowing that O is the center of the circle, find x in the following cases:
a)

circle with the center O and two intersecting lines in O
b)
circle with center O and a tangent and a diameter drawn

 



answer: a) 125° b) 145°
×
The circle as shown in the picture below, with center P and radius 2, is tangent to three sides of the rectangle ABCD. Given that the total area of the rectangle is 32, find the distance between the point P and the diagonal AC.
a)
$\,2\dfrac{\sqrt{5}}{5}\,$
b)
$\,\dfrac{\sqrt{5}}{2}\,$
c)
$\,\dfrac{\sqrt{5}}{5}\,$
d)
$\,2\sqrt{5}\,$
e)
$\,3\dfrac{\sqrt{5}}{5}\,$
retangle with an inner circle tangent to three sides

 



answer: (A)
×
AB is the diameter of the circle whose center is O and the triangle ABC is inscribed in. The quotient $\,\dfrac{s}{S}\,$ where the area $\,s\,$ of the triangle ACO is divided by the area $\,S\,$ of the triangle COB is:
a)
$\,\dfrac{5}{4}\,$
b)
$\,\dfrac{4}{3}\,$
c)
$\,\dfrac{3}{4}\,$
d)
$\,1\,$
e)
$\,\dfrac{\sqrt{3}}{2}\,$
triiangle ACB inscribed in the circle whose center is O

 



answer: (D)
×
(FESP - 1991) An equilateral triangle ABC is inscriibed in a circle whose radius is 6 cm length. The triangle is intercepted by a diameter MN of the circle, forming a trapezoid, as shown in the picture below. We can say that the quotient of the triangle ABC area divided by the trapezoid APQC area is:
a)
$\,\dfrac{5}{4}\,$
b)
$\,\dfrac{9}{5}\,$
c)
$\,\dfrac{9}{8}\,$
d)
$\,\dfrac{9}{4}\,$
e)
$\,\dfrac{8}{5}\,$
circle with an equilateral triangle inscribed in

 



answer: (B)
×
The picture shows the rhombus ABCD and the point A is the center of the circle that has a 4 cm length radius. Find the area of the rhombus in square centimeters.
a)
$\,4\sqrt{3}\,$
b)
$\,8\,$
c)
$\,12\,$
d)
$\,8\sqrt{3}\,$
e)
$\,12\sqrt{3}\,$
circle whose center is A with a inner rhombus ABCD

 



answer: (D)
×
Other math tests:
circumference
circle