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Medium Math · Geometry and Trigonometry · Circles · MCQ
The figure presents a circle in the x y plane, with the origin labeled O. The center of the circle lies at the origin. There are 4 points, T, R, Q, and P, labeled clockwise on the circle. Point T lies on the x axis, directly to the left of the origin, and has coordinates negative 1 comma 0. Point R lies above the x axis, and to the left of the y axis. Point Q lies above the x axis and to the right of the y axis. Point P lies on the x axis, directly to the right of the origin, and has coordinates 1 comma 0. Points R and Q appear to be symmetric with respect to the y axis. Four line segments are drawn from the origin to each of the four points on the circle.

In the xy-plane above, points P, Q, R, and T lie on the circle with center O. The degree measures of angles P O Q and R O T are each 30°. What is the radian measure of angle Q O R ?

  1. A

    five sixths, pi

  2. B

    three fourths, pi

  3. C

    two thirds, pi

  4. D

    one third, pi

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id cb_question_bank:b8e65f4f-03bc-4883-8a68-666a3f65d9cd · question 95ba2d09 · IBN 025648-DC · JSON