Q: How many degrees is the central angle of an eighth of a circle?

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The area of the sector of the circle formed by the central angle is: 37.7 square units.

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The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)

19.23

It is 360 degrees divided by 6 = 60 degrees each.

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An eighth of the area of the circle which, since neither its radius, diameter nor circumference are known, is an unknown quantity.

360 degrees

89.52 degrees.

The central angle of the circle is the angle around a point and so, be definition, it must be 360 degrees.

The area of the sector of the circle formed by the central angle is: 37.7 square units.

360/8 = 45 degrees

there are 180 degrees in a striaght line

45 degrees is the angle halfway between the floor and the wall of your house.

Central Angle An angle in a circle with vertex at the circle's center.

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Central Angle

A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.