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:

a)

990 cm

b)

67 cm

c)

176 cm

d)

88 cm

e)

none of these answers

What is the radius of the following circle which center is O,

given that:

AB = 3x - 3 and

OA = x + 3.

AB = 3x - 3 and

OA = x + 3.

Find x in the following cases:

a) s is perpendicular to $\;\overline{AB}\,$

b) $\,\overline{PA}\,$ and $\,\overline{PB}\,$ are tangent segments to the circle

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.

Knowing that O is the center of the circle, find x in the following cases:

a)

b)