Unit 12 - Area

Question 1

What is the area of a parallelogram? (2)

Answer 1

1. A = bh
2. A = ab ⋅ sinc

Question 2

What is the area of a triangle? (4)

Answer 2

1. A = bh/2
2. √s (s - a) (s - b) (s - c)
3. (s/2)² √3
4. (1/2) ab ⋅ sinc

Question 3

What is the area of a trapezoid?

Answer 3

1/2 (b1 + b2) x h

Question 4

What is the area of a rhombus/kite?

Answer 4

(diagonal 1 x diagonal 2) /2

Question 4

What is Heron’s Formula? (3)

Answer 4

1. Must be given all 3 side lengths
2. Find Semi - Perimeter (Perimeter/2)
3. √s (s - a) (s - b) (s - c)

Question 5

What is the formula for finding the area of an equilateral triangle when given 1 side length?

Answer 5

A = (s/2)² √3

Question 6

What is the formula for finding the area of a hexagon?

Answer 6

A = 6 (s/2)² √3

Question 7

When do you know when to use (1/2) ab ⋅ sinc?

Answer 7

SAS

Question 8

What is the equation for finding the area of a sector?

Answer 8

Area of Sector/πr2 = Measure of Central Angle/360

Question 9

Definition of Apothem (3)

Answer 9

1. Line segment
2. Connects center of polygon
3. Perpendicular to a side of a polygon

Question 10

Definition of Central Angle

Answer 10

Angle between two radii

Question 11

What is the formula for percent error?

Answer 11

(|Measured - Actual|/Actual) x 100

Question 12

What are the guidelines to classify figures as cylinders? (3)

Answer 12

1. Planes are Parallel
2. Planes are the Same Shape
3. Planes are Connected with Infinite Amount of Segments

Question 13

Definition of Oblique

Answer 13

Lateral edges are NOT perpendicular to the base

Question 14

Definition of Prism

Answer 14

Cylinders with a Polygonal Base

Question 15

What’s the relationship between cylinders and prisms?

Answer 15

All prisms are cylinders, but not all cylinders are prisms

Question 16

What are the rules when naming cylinders? (3)

Answer 16

1. Determine if Prism or Cylinder
2. Determine if Oblique or Right
3. Determine Shape of Plane (Based on # of Sides)

Question 17

What is something to keep in mind when identifying the solid created through the rotation of 2D Shapes?

Answer 17

Circles will ALWAYS be involved

Question 18

Definition of Cross Section

Answer 18

2D Shape created Plane Slices through Solid

Question 19

Definition of Lateral Area

Answer 19

Sum of areas of the lateral faces of a cylinder.

Question 20

Definition of Surface Area

Answer 20

1. 2D measurement
2. Sum of all areas of all faces (lateral and bases)
   (LA + 2B)

Question 21

What is the Lateral Area of a Right Circular Cylinder?

Answer 21

LA = 2πrh
___________________________________
1. LA is just a rectangle
2. LA = lw
3. Length will be Height & Width will be Circumference

Question 22

What is the SA of a Right Circular Cylinder? (2)

Answer 22

1. LA + 2B
2. 2πrh + 2 (πr²)

Question 23

What is the SA of Rectangular Prism?

Answer 23

2lw + 2lh + 2wh
(Little WIlly Lost His White Hat)

Question 24

How do you find the LA of a Triangular Prism?

Answer 24

LA = h (perimeter of base)

Question 25

AREA OF TRIANGLE

Answer 25

1/2bh

Question 26

AREA OF PARALLELOGRAM

Answer 26

1. bh 2. absinc

Question 27

AREA OF KITE/RHOMBUS

Answer 27

(d1 x d2)/2

Question 28

AREA OF TRIANGLE (SAS SETUP)

Answer 28

absinc/2

Question 29

HERON'S FORMULA

Answer 29

s = p/2 √s (s-a) (s-b) (s-c)

Question 30

AREA OF EQUILATERAL TRIANGLE

Answer 30

(s/2)²√3

Question 31

AREA OF TRAPEZOID

Answer 31

1/2 (b1 + b2) h

Question 32

AREA OF SIMILAR FIGURES

Question 33

SA OF GENERAL CYLINDERS & PRISMS

Answer 33

LA + 2B

Question 34

SA OF CIRCULAR CYLINDERS

Answer 34

2πrh + 2πr²

Question 35

SA OF PYRAMIDS

Answer 35

LA + B

Question 36

SA OF CIRCULAR CONES

Answer 36

πrL + πr²

Question 37

AREA OF CIRCLE

Answer 37

πr²

Question 38

SA OF RECTANGULAR PRISM

Answer 38

2 (lw + lh + wh)

Question 39

SA OF CUBE

Answer 39

6s²

Question 40

AREA OF SECTOR

Answer 40

As/πr² = m/360

Question 41

LA OF PRISM

Answer 41

(Perimeter of Base) (Height of Prism)

Question 42

PERCENT ERROR

Answer 42

(m-a)/a x 100

Question 43

Definition of General Cone (3)

Answer 43

1. Any region as a base (B) 2. Point not on plane (P) 3. Union of all segments between B and P

Question 44

Definition of Circular Cone

Answer 44

General Cone with a Disk as a Base

Question 45

Definition of Pyramid

Answer 45

General Cone with a Polygonal Base

Question 46

Definition of Slant Height

Answer 46

Height of Each Lateral Face (𝓁)

Question 47

What is the lateral area and surface area of a circular cone?

Answer 47

πr𝓁 = LA πr𝓁 + πr² = SA

Question 48

What is the height of a regular pyramid?

Answer 48

Altitude of pyramid goes from the vertex perpendicular to the center of the base