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Understanding Circles: Radius, Diameter, Chords, and Central Angles Explained

This guide explores the fundamental parts of a circle, including radius, diameter, chords, and central angles. It defines each term: the radius as the segment from the circle's center to its perimeter, the diameter as the longest chord passing through the center, and chords as segments with endpoints on the circle. Also explained are how to find the radius and diameter using simple formulas and examples. Let’s demystify the relationships and calculations involving these key elements of circles for better comprehension.

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Understanding Circles: Radius, Diameter, Chords, and Central Angles Explained

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Presentation Transcript

  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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