Geometry Chapter 10 Review Flashcards

Inscribed Angles

• Inscribed angle measures are calculated as half of the measure of the outer arc.

Angles Outside a Circle

• The measure of an angle formed outside a circle equals half of the difference between the measures of the external arcs.

Angles Inside a Circle

• An angle found inside a circle is measured as half of the sum of the measures of the arcs outside the circle.

Chord Segments Theorem

• When two chords intersect within a circle, the products of the lengths of their chord segments are equal.

Secant Segments Theorem

• The product of the length of a short side of a secant line times the entire secant line equals the product of the length of the other short side with its entire secant line.

Tangent Secant Theorem

• Squaring the length of the unfinished short side of a tangent line equals the product of the length of the opposite short side and the length of its entire secant segment.

Equation of a Circle

• The standard equation for a circle is expressed as ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius.

Circumference of a Circle

• The formula for calculating the circumference of a circle is (2 \pi \times \text{radius}).

Area of a Circle

• The area can be determined using the formula (\pi \times \text{radius}^2).