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Investigating Circles

Investigating Circles. Parts of the Circle:. Radius – segment that goes from the center of the circle to a point on the outside of the circle. PR is a radius of circle P. R. P.

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Investigating Circles

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  1. Investigating Circles

  2. Parts of the Circle: • Radius – segment that goes from the center of the circle to a point on the outside of the circle. PR is a radius of circle P R P

  3. Diameter – a segment that goes from one point on the outside of the circle, through the center, to another point on the outside of the circle. • It cuts the circle in half. • QS is a diameter of circle P Q R P S

  4. Chord– a segment with both endpoints on the outside of the circle. **A diameter is also a chord** LM, QS, and OT are all chords of circle P. M Q R P L O S T

  5. Central Angle – An angle that has the center of the circle as its vertex. QPR, RPS, and QPS are all central angles of circle P. M Q R P L O S T

  6. Answers: • MD • SD, SF, SM • LN, MD, BG • MSD, DSF, MSF • Identify the following: • 1 diameter • 2 radii • 3 chords • 3 central angles B N L S M D F G

  7. Finding Radius and Diameter • The diameter is twice as big as the radius • d = 2r • r = d ÷ 2 • Find the unknown length: • r = 3 cm 2) d = 24 in d = ____ r = ____ (6 cm) (12 in) • d = 35 m 4) r = 9.2 mm r = _____ d = ____ (17.5 m) (18.4 mm)

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