Skip to main content

Plane Geometry Chapter 3, Section 12-18: Measurements of Angles in a Circle

Plane Geometry Chapter 3: The Circle
Image result for geometry
Terms to Know:
Section 12: Concentric Circles
  • Concentric circles are circles which have the same center.
Section 13-18: Measurements of Angles in a Circle
  • The numerical measure of any magnitude is the number which tells how many times his magnitude contains the given unit.
  • A rational number can be expressed as the ratio of two integers.
  • An irrational number cannot be expressed as the ratio of two integers and is a nonrepeating decimal.
Magnitudes
  • Two magnitudes of the same kind which have a common unit of measure are said to be commensurable.
  • Two magnitudes of the same kind which have no common unit of measure are said to be incommensurable.
Angles
  • A central angle is measured by its intercepted arc.
  • A numerical measure of angle = numerical measure of its arc.
  • A secant is a straight line that cuts the circle in two points.
  • The length of a secant from an external point to a circle means the length of the line from the external point to the second point of intersection.
  • It is to be noted that a tangent is the limiting position of a secant when its two points of intersection coincide.
  • An inscribed angle is an angle whose vertex is on the circle and whose sides are chords.
Arcs
  • A segment of a circle is the figure bounded by an arc of a circle and its chord.
  • If the arc is a major arc, the segment is called a major arc.
  • An angle is said to be inscribed in a segment or inscribed in an arc if its vertex is on the arc and its sides terminate in the ends of the arc.
Labels:

Popular posts from this blog

Arithmetic Reasoning ASVAB Practice Test, Part 2

Arithmetic Reasoning ASVAB Practice Test, Part 2 Source:  https://asvabpracticetestonline.com Question 1.  If ratio of men to women in a city of 54,000 people is 3:1, how many women are there in the city? A. 13,500 B. 18,000 C. 12,000 D. 15,000 Solution: 54,000 divided by 4 equals 13,500 . Question 2.  Trey drives an average of 36 miles per day.  How many days will it take him to drive 3,240 miles? A. 90 B. 63 C. 78 D. 82 Solution: 3,240 divided by 36 equals 90 . Question 3.  Bruce needs a length of pipe to connect the sink to the drainage system. The total piping cannot exceed 6 feet. Two point four feet of piping already exists, so how much piping does Bruce need? A. 2.4 B. 4.4 C. 3.6 D. 4.6 Solution: 6 minus 2.4 equals 3.6 . Question 4.  If Marcy chews an average of 32 sticks of gum per month, how many months will it take her to chew 2,400 sticks of gum? A. 80 B. 70 C. 85 D. 75 Solution: 2,400 divided by 32 equals 75 . Question 5.  Rachel’s phone c
Read more

Word Knowledge ASVAB Practice Test, Part 3

Word Knowledge ASVAB Practice Test, Part 3 Source:   https://asvabpracticetestonline.com Question 1.  “Negligent” most nearly means: A. unfettered B. punctual C. remiss D. beligerent Question 2.  The word most opposite in meaning to “rescind” is: A. command B. reproduce C. aimless D. disclaim Question 3.  The word most opposite in meaning to “periodical” is: A. sporadic B. flippant C. recurrent D. fussy Question 4. The word opposite to the meaning to "deft" is: A. intellectual B. lightweight C. adept D. clumsy Question 5.  The word most opposite in meaning to “precarious” is: A. common B. scraggly C. immutable D. hazardous Question 6.  “Rebuke” most nearly means: A. restart B. dissuade C. reject D. reprimand Question 7.  The word most opposite in meaning to “covert” is: A. undisguised B. singular C. latent D. unchangeable Question 8.  The word most opposite in meaning to “mollify” is: A
Read more

Plane Geometry: Principles in Geometry

Plane Geometry Principles in Geometry (1) A straight line is the shortest line between two points. (2) Only one straight line can be drawn between two points. (3) Two straight lines intersect at only one point. (4) Quantities (Lines) equal to the same quantity (line) are equal to each other. (5) The whole is equal to the sum of all its parts. (6) The whole is greater than any of its parts. (7) If equals are added to equals, then the sums are equal. (8) If equals are subtracted from equals then the remainders are equal. (9) Doubles of equals are equal. (10) Halves of equals are equal. (11) If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third. (12) All straight lines are equal.
Read more