2016 - 2017 GSE Geometry End of Course Study Guide Unit 4 – Circles and Volume Unit 5 – Geometric and Algebraic Connections Unit 6 – Applications of Probability

Find the measure of major arc DCB in circle P.

2. Which statement matches this picture: A line is tangent to a circle if and only if it is perpendicular to the radius at the point of tangency Arc Addition Postulate If two segments from the same exterior point are tangent to the circle, then they are congruent Central Angle

3. Trees that are cut down and stripped of their branches for timber are approximately cylindrical. A timber company specializes in a certain type of tree that has a typical diameter of 50 cm and a typical height of about 10 meters. The density of the wood is 380 kilograms per cubic meter, and the wood can be sold by mass at a rate of $4.75 per kilogram. What is the minimum number of whole trees that must be sold to raise at least $50,000? 15 14 746 50,000

4. If the circumference of the circular base of a cylinder is doubled, how does the volume of the cylinder change? The volume is eight times larger The volume is tripled The volume is quadrupled The volume is doubled

5. What would the equation of the circle be if the radius is 3 and the center is (-1, -1)? (x + 1)2 + (y + 1)2 = 3 (x + 1)2 + (y + 1)2 = 9 (x - 1)2 + (y - 1)2 = 3 (x - 1)2 + (y - 1)2 = 9

6. Identify the radius for the circle in standard form x2 + y2 - 12x - 12y + 36 = 0 144 12 36

7. Find P(unshaded or E). A card is drawn from the cards shown. .571 .714 .428 .143

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