Mathematics (US) - 0444 CIE

Vocabulary And Properties Of Circles

Akopọ

A circle has its own vocabulary: radius, diameter, chord, tangent, arc, sector and segment. Knowing exactly what each word means, and the key property that a tangent meets the radius at a right angle, turns circle problems from confusing to routine.

In this lesson you will learn the parts of a circle and the most useful property for problem solving: a tangent is perpendicular to the radius at the point where they touch. That single right angle is the key to a whole family of exam questions.

Awọn Afojusun

  1. Use the vocabulary and properties of circles, including that a tangent is perpendicular to the radius at the point of contact.

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Akọ̀wé Ẹ̀kọ́

Circles appear across geometry, trigonometry and design. Using the right name for each part, and the tangent-radius right angle, lets you bring in Pythagoras and angle facts to solve problems cleanly.

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  1. A line that touches a circle at exactly one point is a: A. chord B. diameter C. tangent D. radius Answer: C
  2. A tangent meets the radius at the point of contact at: A. 45 degrees B. 60 degrees C. 90 degrees D. 180 degrees Answer: C
  3. The diameter of a circle is: A. half the radius B. equal to the radius C. twice the radius D. the circumference Answer: C
  4. A tangent from an external point P has OT = 5 and OP = 13. The tangent length PT is: A. 8 B. 12 C. 13 D. 18 Answer: B
  5. A straight line joining two points on a circle is a: A. tangent B. chord C. sector D. arc Answer: B

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