Chapter 10
Hour 2 (Sydney W)
10.1
Vocabulary
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 = 1/2 * (b1 + b2) * h
A = b * h
Lets Practice:
Answer: 55 cm squared
Answer: 25 cm squared
Answer: 32 cm squared
10.2
Vocabulary
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
Circumference = pi * radius * 2
Circumference = pi * diameter
Diameter = radius * 2
Area of Two Circles = 2 * pi * radius squared
Area = pi * radius squared
Area = 2 * pi * radius squared
Circumference = 2 * pi * radius
Diameter = 2 * radius
Circle Labels
10.4
Vocabulary
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 baseP = 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
10.5
Vocabulary
S = B + 1/2 * P * l
(Surface Area of a Pyramid)
B = area of base
P = number of triangles
l = area of each triangle
S = pi * radius squared + pi * radius * l
S = surface area
l = slant height
10.6
Vocabulary
V = B * h
V = volume
B = area of base (pi * radius squared)
h = height
10.7
Vocabulary
Cone: A solid with one circular base
Volume: the measure of the amount of space an object occupies
S = 4 * pi * radius squared
Let's Practice
Answer: 267.9