![]() ![]() The Outside Angles Theorem states that the measure of an angle formed by two secants, two tangents, or a secant and a tangent from a point outside the circle is half the difference of the measures of the intercepted arcs. ![]() The tangent of an angle in a right triangle is a value found by dividing the length of the side opposite the given angle by the length of the side adjacent to the given angle. The secant ratio is the reciprocal of the cosine ratio. The secant of an angle in a right triangle is the value found by dividing length of the hypotenuse by the length of the side adjacent the given angle. The distance from the center to the outer rim of a circle. The point where the tangent line touches the circle. The arc that is inside an inscribed angle and whose endpoints are on the angle. The length of a diameter is two times the length of a radius.Īn angle with its vertex on the circle and whose sides are chords. The set of all points that are the same distance away from a specific point, called the center.Ī chord that passes through the center of the circle. If At is the area of triangle ABC and As the shaded area then we need to have As 2 At. Also, note that since triangle AOB is isosceles. The sides of the triangle are tangent to the circle. then OAOB, therefore this forms an isosceles triangle inside the circle. When a circle inscribes a triangle, the triangle is outside of the circle and the circle touches the sides of the triangle at one point on each side. \)Īn angle formed by two radii and whose vertex is at the center of the circle.Ī line segment whose endpoints are on a circle. For an obtuse triangle, the circumcenter is outside the triangle. ![]()
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