High School

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Circle B is shown. Line segments CB, DB, and EB are radii. Angle CBE is 52 degrees and angle EBD is 160 degrees.

What is the measure of Arc CED?

A. 106 degrees
B. 108 degrees
C. 148 degrees
D. 212 degrees

Answer :

The measure of arc CED in the circle is 212°.

Option D is correct.

What is the Measure of an Arc of a Circle?

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

As, Measurement of an arc of a circle = measure of its central angle.

So, Measure of arc CED = angle CBE + angle EBD

= 52 + 160

Measure of arc CED = 212°

Thus, the measure of arc CED is 212°.

Learn more about measure of arc here:

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