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Circle

Circle. Circle Definition. Circle :. The set of points coplanar points equidistant from a given point. The given point is called the CENTER of the circle. The distance from the center to the circle is called the RADIUS. Center. Radius. Definitions. Chord :.

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Circle

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  1. Circle

  2. Circle Definition Circle : The set of points coplanar points equidistant from a given point. The given point is called the CENTER of the circle. The distance from the center to the circle is called the RADIUS. Center Radius

  3. Definitions Chord : The segment whose endpoints lie on the circle. A chord that contains the center of the circle. Diameter : A is a line or line segment that touches a circle at one point only . Tangent : Tangent Point of Tangency : Chord The point where the tangent line intersects the circle. Diameter Secant : A line that intersects a circle at two points. It is a line, ray, or segment that contains a chord of a circle. Secant

  4. Definitions Congruent Circles : Circles that have congruent radii. 2 2 Concentric circles : Circles that lie in the same plane and have the same center.

  5. Polygons A polygon inside the circle whose vertices lie on the circle. Inscribed Polygon: Circumscribed Polygon : A polygon whose sides are tangent to a circle.

  6. B C A ARCS The part or portion on the circle from some point B to C is called an arc. Arcs : If a circle is divided into two unequal parts, the longer arc is called the major arc and the shorter arc is called the minor arc.

  7. An angle with its vertex on a circle that is formed by two other points on the circle is called an inscribed angle. For an inscribed angle with the same endpoints as a central angle, the inscribed angle is half the central angle.

  8. 3 cm/9 cm = 1/3 If arc Q is 3 cm long in the circle above, and the circumference of the circle is 9 cm, then what is the measurement of the central angle? The central angle will be the same fraction of 360°. (All circles measure 360°.). Therefore, set up a ratio to solve for the central angle measurement. The central angle equals 120°. 1/3 = X/360°1/3 = 120°/360°

  9. 30 mm / 90 mm = 1/3 In the circle above, arc Q is 30 mm long. The circumference of the circle is 90 mm. What is the measurement of the central angle? The central angle will be the same fraction of 360°. (All circles measure 360°.). Therefore, set up a ratio to solve for the central angle measurement. The central angle equals 120°. 1/3 = X/360°1/3 = 120°/360°

  10. Central Angle For an inscribed angle with the same endpoints as a central angle, the inscribed angle is half the central angle. Given a circle with center B and ABC = 74°, determine the measure of AKC. AKC = 1/2 × ABC = 1/2 × 74° = 37° Inscribed Angle The Angle AKC = 37°.

  11. Segment AC is the diameter of the circle. If the length of segment BD = 7 inches, find the length of segment BE. Segment DE is perpendicular to the diameter AC. Therefore, segment DE is bisected by segment AC. So, the length of segment BE is equal to the length of segment DB. 7 ?? BE = 7 inches

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