# Chapter 10

## Vocabulary

Area: the number of square units covered by a figure

Base: the lowest part or edge that a shape rests on

Height: the perpendicular distance between the side whose length is the base and the opposite side or vertex

Circle: the set of all points in a plane that are the same distance, called the radius, from a fixed point, called the center

Radius: the distance between the center and any point on the circle

Pi: the ratio of the circumference of a circle to its diameter

Trapezoid: a quadrilateral with exactly one pair of parallel sides

Parallelogram: a quadrilateral with both pairs of opposite sides parallel

Rhombus: a parallelogram with four congruent sides

## All Formulas in 10.1

A = b * h

A = 1/2 * (b1 + b2) * h

## A = b * h

Area of a rectangle, parallelogram, and square.

## A = 1/2 * (b1+b2) * h

Area of a trapezoid.

## Vocabulary

Area: the number of square units covered by a figure

Circle: the set of all points in a plane that are the same distance, called the radius, from a fixed point, called the center

Radius: the distance between the center and any point on the circle

Diameter: the distance across a circle through the center

Circumference: the distance around a circle

Pi: the ratio of the circumference of a circle to its diameter

## All Formulas in 10.2

Area = Pi * radius squared

Circumference = pi * radius * 2

Circumference = pi * diameter

Area of Two Circles = 2 * pi * radius squared

## Area = pi * radius squared

Area of a circle. Area of two circles is: 2 * Pi * radius squared

## Area = 2 * pi * radius squared

Area of two circles

## Circumference = 2 * pi * radius

Circumference = pi * diameter

## Vocabulary

Net: a two-dimensional representation of a solid. This pattern forms a solid when it is folded.

Surface Area: the sum of the faces of an object

## S = 2B + Ph

(Surface Area of a Prism)

S = surface area

B = area of the base

P = perimeter of the base

h = height

## S = 2B + Ch

S = 2 * pi * radius squared + pi * diameter (radius * 2)

(Surface Area of a Cylinder)

S = surface area

B = area of the base

C = circumference

h = height

## Vocabulary

Slant Height: the height of a lateral face, that is any face that is not the base

## S = B + 1/2 * P * l

(Surface Area of a Pyramid)

S = surface area

B = area of base

P = number of triangles

l = area of each triangle

## S = pi * radius squared + pi * radius * l

(Surface Area of a Cone)

S = surface area

l = slant height

## Vocabulary

Volume: the measure of the amount of space an object occupies

## V = B * h

(Volume of a Cylinder)

V = volume

B = area of base (pi * radius squared)

h = height

## V = B * h

Volume of a Prism

## Vocabulary

Pyramid: A solid, formed by polygons, that has one base. The base can be any polygon, and the other faces are triangles.

Cone: A solid with one circular base

Volume: the measure of the amount of space an object occupies

## V = B * h * 1/3

Volume of a Pyramid

Volume of a Cone

## S = 4 * pi * radius squared

Surface area of a sphere

## V = 4/3 * pi * radius cubed

Volume of a Sphere

## Let's Practice

use 3.14 for pi and round to the nearest tenths if necessary