Central Angle
Angle whose vertexis the center of a circleand whose sides containradii of the circle
A central angle is an angle with its vertex at the center of a circle, and its arms extending to the circumference of the circle. In other words, it is an angle formed by two radii of the circle, which intersect at the center of the circle.
The size of a central angle is measured in degrees, and it is equal to the arc length it intercepts on the circumference of the circle. The arc length is the distance along the circle between the two points on the circumference where the arms of the angle intersect.
A central angle can be classified as a minor angle or a major angle, depending on the size of the arc length it intercepts. If the arc length is less than half the circumference of the circle, the angle is a minor angle. On the other hand, if the arc length is greater than half the circumference of the circle, the angle is a major angle.
Central angles have various applications, such as in geometry, trigonometry, and navigation. They are also used in physics to calculate the moment of inertia of solid objects, which is useful in predicting their rotational motion.
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