Geometry(2)( Week 37 Practice) 1. In the figure below, a triangle is inscribed in a circle with one of its side AC through the circle center O. If AB = 10 and BC = 4, what is the area of the circle?
2. What is the maximum area possible if a rectangle has a perimeter of 24? 3.
AD bisects both ∠A and the side BC of the ΔABC. Which of the following CANNOT be concluded? Note that the figure is not drawn to scale. 4. ABC and DEC are right triangles. If ∠D = 30° What will be x + y + z = ? Note that x, y, and z are the degrees of the corresponding marked angles, and the diagram might not be drawn to scale.
5. The circles and the enclosing rectangle are tangent as shown in the diagram. If the total area of all the circles is 27π, what is the area of the rectangle?
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