Math quiz 4/24

Lateral surface area of a cone

pi*slant height*base radius

Surface area of a sphere

4*pi*radius squared

Volume of a sphere

4/3*pi*radius cubed

set up a proportionality statement if you know the areas of prisms but want to know the height

area 1 / area 2 = height 1 squared / height 2 squared

Tangent-Chord Theorem

An angle formed by a tangent and chord is equal to half its intercepted arc

Chord-Chord angle theorem

An angle formed by two chords inside of a circle is equal to half the sum of its intercepted arcs

Secant-Secant angle theorem

An angle formed outside of the circle by two secants is equal to half the difference of its intercepted arcs

Tangent-Tangent angle theorem

An angle formed by two tangents is equal to half the difference of it’s intercepted arcs

Secant-tangent angle theorem

An angle formed by a secant and a tangent is equal to half the difference of its intercepted arcs

Intersected chords theorem

If two chords intersect in a circle then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other. (similar triangles)

Intersecting Secants theorem

If two secant segments intersect outside of a circle then the product of the lengths of one secant segment and its external part is equal to the product of the lengths of the other secant segment and its external part. (similar triangles