Mathology

Vocabulary

100

What is a Radius?

A segment whose endpoints are the center and any point on a circle.

200

What is a Minor Arc? 

A minor arc is a shorter arc connecting two endpoints on a circle.

300

What is a Circumference?

The distance around a circle.

400

Apothem of a Regular Polygon?

The distance from the center to any side.

500

Cavalieri's Principle?

States that if two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

Volume

100

What is the formula for the Volume of a Sphere?

V= (4/3) pi r³

200

What is the formula for a Pyramid?

V=(1/3)Bh

300

What is the volume of a Sphere with a radius of 7?

V=1436.75

400

 What is the density of a rectangular prism with a mass of 227 grams, length of 10 cm, height of 4 cm, and width of 6 cm?

0.95

500

What is the formula of a composite solid that consists of a cone sitting on a cylinder?

V= pi r²(h) + (1/3)Bh

Surface Area

100

What is the surface area formula of a right prism?

S.A.= 2B+L

200

What is the lateral Area of a right pentagonal prism with a side length of 7.05, apothem of 6, and a height of 9?

317.25

300

What is the Surface area of a Cylinder with a radius of and a height of 8?

301.59

400

What is the formula for the Surface Area of a Pyramid?

V=B + (1/2)pL

500

Find the Surface Area of a prism based on the scale factor. Prism B has a hight of 6 and a Surface Area of 128. Prism A has a hight of 9 and a Surface Area of X.

X=288

Circles

100

What is a Chord?

A segment whose endpoints lie on a Circle.

200

What is the formula for Arc Measure?

Arc Measure= 360-x

300

What are the three locations where two non-parallel lines can intersect a circle?

On the circle, inside the circle, and outside the circle.

400

Find the value of X. (Use handout 1)

X=8

500

What is the Measure of angle T? (Use Handout 2)

angle T= 24

Theorems

100

What is the Congruent Circles Theorem?

Two circles are congruent, if and only if, they have the same radius.

200

What is the Congruent Corresponding Chords Theorem?

In the same circle. or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

300

What is the Perpendicular Chord Bisector Theorem?

If a diameter of a circle is perpendicular to a cord, then the diameter bisects the cord and its arc.

400

What is the Equidistant Chords Theorem?

In the same circle. or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

500

What are the Angles Inside a Circle Theorem?

If two chords intersect a circle, then the measure of each angle is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angles.