# geometry

posted by Emily

In circle P, arc EN=66, angle GPM=89, and GN is the diameter. Find the measure of angle EGN.

The answer is 33º but I'm not sure how you get it.

There is a theorm that says the inscribed angle of a circle arc is 1/2 the arc (or one half the central angle).

http://en.wikipedia.org/wiki/Circle#Inscribed_angles

Theta= 1/2 EN

## Similar Questions

1. ### math

Whats the difference between an arc [of a circle]'s length and measure?
2. ### geometry

n the circle below, angle a = 7x + 2 and angle b = 9x - 4. Find the measure of arc MN
3. ### Geometry

how to you solve: the radius of circle Z is 13.5 units long. Find the length of each arc for the given angle measure. if the angle measure is 120 degrees?
4. ### geometry

Point C is the center of the circle. The measure of angle ACB is 15x + 20. Arc AB measures 20x – 10. Find the measure of arc AB.
5. ### geometry

Two chords that intersect within a circle form an angle whose measure is 55°. If this angle’s arc is 100°, what is the measure of the arc of its vertical angle?
6. ### Geometry

Triangle RSU has two of its points(R and S) on the sides of a circle. Line SU forms a secant ray that passes through the diameter of the circle. Angle S is 30 degrees, the measure of arc RS is 84 degrees, and RU is tangent to the circle …
7. ### trig

a central angle intercepts an arc on a circle equal in length to the diameter of the circle. find the measure, in radians, of the central angle.
8. ### Geometry

If a central angle of 90 degrees defines an arc on circle R that has the same length as the arc on circle W defined by a 60-degree central angle, what is the ratio of the area of circle R to the area of circle W?
9. ### Geometry

Trying to help my Autistic child with geometry. Need a simple step by step explanation and answer please. In this open ended question, find each item and include an explanation of how you found each one. Find arc AD. Find angle APD. …
10. ### geometry

an inscribed angle with a diameter as a side has a measure of x degrees. if the ratio of measure of arc AD to measure of arc DB is 1:4, what is the measure of arc DB?

More Similar Questions