Central and Inscribed Angles, Study notes of Trigonometry

Name the inscribed angles that are subtended by the arc BEC. 3. The center of the circle is 0. Name the 3 angles that are subtended by the minor arc AB and two.

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Name: _____________________ S. Watters 1
Central and Inscribed Angles
1. For each of the following diagrams, name the inscribed and central angles.
2. Name the inscribed angles that are subtended by
the arc BEC
3. The center of the circle is 0. Name the 3 angles
that are subtended by the minor arc AB and two
angles that are subtended by the minor arc CD.
4. How are angle P and angle A related to each other?
5. An arc subtends each angle at the circumference. What is the measure of the corresponding central angle?
a. 20o b. 40o c. 80o
6. An arc subtends each angle at the center of the circle. What is the measure of the corresponding inscribed angle at
the circumference?
a. 80o b. 50o c. 110o
7. The center of each circle is 0. Find the measure of x. Give reasons for your answers.
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Name: _____________________ S. Watters 1 Central and Inscribed Angles

  1. For each of the following diagrams, name the inscribed and central angles.
  2. Name the inscribed angles that are subtended by the arc BEC 3. The center of the circle is 0. Name the 3 angles that are subtended by the minor arc AB and two angles that are subtended by the minor arc CD.
  3. How are angle P and angle A related to each other?
  4. An arc subtends each angle at the circumference. What is the measure of the corresponding central angle? a. 20 o^ b. 40 o^ c. 80 o
  5. An arc subtends each angle at the center of the circle. What is the measure of the corresponding inscribed angle at the circumference? a. 80 o^ b. 50 o^ c. 110 o
  6. The center of each circle is 0. Find the measure of x. Give reasons for your answers.

Name: _____________________ S. Watters 2

  1. Find the missing measures. Do not use your protractor.
  2. Find the missing measures. Give reasons for your answers.
  3. Find the measure of the indicated angle. Explain your reasoning.