Page 1 UNIT 6 REVIEW SHEET (Circles) * Find the distance between the two points. State all answers as simplified radicals: * If the distance between the points (3, -7) & (k, -2) is found to be 13 units long, find the value(s) of k. * Find the midpoint between the two points: * One endpoint of a segment and a midpoint are given. Find the other endpoint: * State the general form for an equation of a circle: __________________________ What does the point (h, k) stand for? _______________ What does “r” stand for? _____________ Write the equation of the circle with the given information: Write each circle’s equation from its graph: UNIT 6 REVIEW SHEET (Circles) Page 2 Complete the square to write each circle in standard form. Then state the center & radius of each circle: * Write the circle with these given facts: Page 3 UNIT 6 REVIEW SHEET (Circles) * If the area of a given sector is found to be known to be 30π , and the central angle for that sector is 80! , what is the radius of the circle? * What is a “radian” referring to? _________________________________________________ How many degrees in a full revolution of a circle? ________ How many radians are in a full revolution of a circle? _________ Convert each degree measure to radian measure. 1. 150o 2. 210o 3. -‐60o 4. 165o Convert each radian measure to degree measure. 5. 6. 7. 8. * Draw a periodic function with midline of y=2, an amplitude of 3 and period of 4. * Draw a periodic function with a midline of y=0, an amplitude of 5, and a period of 3. a) y = -4sin(x) +2 b) y = 3cos(4x) c) y = sin(0.5x)-3

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