A central angle is one angle through its vertex at the facility of a circle, v its sides containing two radii the the circle.

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In the figure above, ∠ ns Z Q , ∠ Q Z R , and also ∠ R Z p are main angles.

amount of central Angles: The amount of the procedures of the central angles the a circle with no points in common is 360 ° .

because that example, in the figure above,

m ∠ p Z R + m ∠ R Z Q + m ∠ Q Z ns = 360 ° .


Example:

discover the worth of x .

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The sum of the actions of the central angles that a circle with no internal points in common is 360 ° .So,

m ∠ M O N + m ∠ N O p + m ∠ p O M = 360 ° 50 ° + 90 ° + x = 360 °

Simplify.

140 ° + x = 360 °

Subtract 140 ° from every side.

x = 220 °


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