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in circle O, AD and BE are diameters. the measure of arc AB is 55 and the measure of arc CD is 25 what is the measure of EAC

in circle O AD and BE are diameters the measure of arc AB is 55 and the measure of arc CD is 25 what is the measure of EAC class=

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choixongdong

Answer:

arc EAC = 280 degrees

Step-by-step explanation:

Given: the measure of arc AB is 55  and the measure of arc CD is 25

Vertical angles are equal so <AOB = <DOE = 55

In a circle, the degree measure of an arc is equal to the measure of the central angle.

so if <DOE = 55 then arc DE = 55

As you know, the arc angle to a full angle in a circle = 360

so

arc EAC = 360 - arc CD - arc DE

arc EAC = 360 - 55 - 25

arc EAC = 280

Answer:

arc EAC = 280 degrees

The measure of EAC = 280°

What is a Circle?

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

The circumference is the perimeter of the circle, it is the distance that is covered by a man to take one round around the circle.

The area is defined as the space required by a two dimensional object in space.

The chord AD and BE is the diameter of the circle,

They intersect each other, the sector formed by the circle is of equal measure.

The measure of arc AB is 55 and,

The measure of arc CD is 25

The sector ED = AB = 55 degree.

The measure of EAC = 360 - measure of ED and DC

The measure of EAC = 360 - 55 - 25

The measure of EAC = 280°

To know more about Circle

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