In circle O, and are diameters. The measure of arc DC is 50°.

Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees.

What is the measure of Arc E B C?

40°
90°
140°
220°

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The measure of arc EAB is 180°, this is because EB is the diameter of the circle. Also, the measure of ∠BOC is 40°. Therefore, the measure of the arc EBC can be written as,

arc EBC = 180° + 40° = 220°

Hence, the measure of Arc EBC is 220°.

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In circle O, and are diameters. The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°

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What is a circle?

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In circle O, and are diameters. The measure of arc DC is 50°.

Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees.

What is the measure of Arc E B C?

40°
90°
140°
220°