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360 ÷ 8 = 45o

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Q: How many degrees is the central angle of an eighth of a circle?
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What is the area of a sector if the central angle is 45 degrees?

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


What is the sum of the central angle measure of a circle?

360 degrees


A central angle of a circle of radius 8 cm intercepts an arc of 12.5 cm express the central angle in degrees?

89.52 degrees.


How do you find the central angle in a circe?

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


What is the measure of an angle that runs though one eighth of an circle?

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A central angle measuring 120 degrees intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle?

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What is 45 degrees angle?

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


What is a central angle?

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


What is the central angle of a circle with a diameter of 20 inches and divided into 20 congruent sectors?

1


What is an angle in a circle whose vertex is at the center of the circle?

Central Angle


What is the relation between the arc length and angle for a sector of a circle?

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.