Two central angles are listed below. column a 1.38 radians column b 77 degrees. compare the central angle in column a to that in column b. a. column a is larger than column b. b. column b is larger than column a. c. column a is equal to column b. d. the two columns cannot be compared because the units are different.

The statement that best compares the  central angle in column A to that in column B is:

    A.   Column A is larger than column B.

We are given the central angle of Column A as:  1.38 radians

and the central angle of Column B as: 77 degree

As the two units are different so will change them to the same units

We know the conversion:

   π radians=180°

⇒  1 radians=180°/π

⇒  1.38 radians= 79.06818°

Hence, the central angle of Column A is:  79.06818°

Since, 77° < 79.06818°

This means that the central angle of column A is larger than the central angle of Column B.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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