What is the radius of the following circle which center is O, given that:
AB = 3x - 3 and OA = x + 3.
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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?
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The circles in the picture are externally tangent. The distance between the centers is 28 cm and the difference between their radii is 8 cm. Find the length of each radius.
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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) b) c)
d) e)

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(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) b) c)
d) e)

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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) b) c)
d) e)

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What is the vertical height (altitude) of the right cone whose radius of the circular base is equal to centimeters and the slant height is 5 centimeters ?
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Find the lateral area, the total area and the volume of a circular cone that is circumscribed to a sphere of radius and whose axial cut is an equilateral triangle.
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