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Step-by-step explanation:
Recall that the radius always intersects the point of tangency at a right angle. So, the two radii form two 90° angles with the drawn tangent lines. From the picture drawn, the shape formed by the two radii and two tangents drawn on the circle is a quadrilateral.
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A central angle is an angle whose apex is the center O of a circle and whose legs are radii intersecting the circle in two distinct points A and B. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one.
Sum of Central Angles: The sum of the measures of the central angles of a circle with no points in common is 360° .
Central Angle Property. An inscribed angle is half the measure of a central angle subtended by the same arc. A central angle is twice the measure of an inscribed angle subtended by the same arc. COB since both are subtended by arc(CB).
The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle can be defined by any point along the outer arc AB and the two points A and B.
Sector area formula
The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
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