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- 1. Open EndedWhich statements are true regarding the area of circles and sectors? Check all that apply.
- 2. Open EndedWhich statement is true regarding the two shaded sectors of circle O? Explain.
- 3. Open EndedThe canopy of a parachute is a semicircle with a radius of 13 feet. A company that is making parachutes for a Fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric. Approximately how much fabric of each color will be needed to make a single parachute canopy?
- 4. Open EndedTimothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches. What is the smallest possible area of the tabletop that will fit on Timothy's table base? Round the answer to the nearest whole square inch. ---- What is the largest possible area of the tabletop that will fit on Timothy's table base? Round the answer to the nearest whole square inch. ----
- 5. Open EndedWhat is the ratio of the sector area to the area of the entire circle?
- 6. Open EndedIf the radius is doubled, what is the effect on the area of sector XYZ?
- 7. Open EndedWhat is the approximate circumference of the circle? What is the height of the parallelogram? What would be the approximate length of the parallelogram if the base were completely straight? What would make the estimation of the circle's area more precise? What is the area of the circle used to create the parallelogram-like shape to the nearest tenth of a square unit?
- 8. Open EndedUse the diagram to answer the questions. What is the area of the circle in terms of pi? π units² What is the measure of the central angle of the shaded sector? ° What is the area of the shaded sector rounded to the nearest whole number? units²
- 9. Open EndedWhat is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00?
- 10. Open EndedArc LM on circle O has a measure of 40°. Which statements are true? Check all that apply.
- 11. Open EndedThe radius of circle C is 6 units and the measure of central angle ACB is radians. What is the approximate area of the entire circle? square units What is the approximate area of the entire sector created by central angle ACB? square units What is the approximate area of the shaded region only? square units
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