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| Sum of the angels in a polygon formula |
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| number of diagonals in a convex polygon |
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| area of a regular polygon |
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| n * s^2/4 * tan((n-2) * 180/2n)) |
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| 2B + Area of rectangles along its sides |
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| B + area of the triangles along its sides |
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| an angle with its vertex at the center of a circle, called a central angle, is equal to the measure of the arc angle it intersects |
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| an angle with its vertex on the circle, called an inscribed angle, has a measure equal to one half of the arc angle it intercepts |
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| angles between intersecting chords |
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| when two chords intersect in a circle, the angle between them is equal to the average of the arc angles formed by the chords |
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| Angles between intersecting secants |
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| when two secants intersect outside a circle, the angel between them is half of the difference between the angles of the intercepted arcs |
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| angles between tangent line and radius |
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| when a line is tangent to a circle, the angle between the radius drawn to the point of tangency and the tangent line is 90 degrees. |
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| when two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord |
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| when two secants intersect outside a circle, each of the secants forms two line segments created by the circle and the point of intersection. The product of the length of the line segment from the point of intersection to the circle and the sum of the lengths of both line segments are equal for both secant lines |
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