Matemáticas 11

If a rectangle with a diagonal of 5 inches is inscribed in circle O, what is the circumference of circle O, in inches?

In the figure below, triangle PQO is an isosceles triangle with sides of lengths 5, 5, and 6. What is the area of rectangle MNOP?

In the circle above, three right angles have vertices at the center of the circle. If the radius of the circle is 8, what is the combined area of the shaded regions?

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In the figure, ABCD and CEFG are squares. If the area of CEFG is 36, what is the area of ABCD?

A triangle and a circle have equal areas. If the base of the triangle and the diameter of the circle each have length 5, what is the height of the triangle?

The figure above is composed of nine regions: four squares, four triangles, and one rectangle. If the rectangle has length 4 and width 3, what is the perimeter of the entire figure?

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The two semicircles both have radii of 7. If AB is tangent to the semicircles as shown, what is the shaded area, to the nearest integer?

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In the figure above, if radius OA is 8 and the area of right triangle OAB is 32, what is the area of the shaded region?

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