Chapter 3

Question 1

What 3 units are areas usually measured in?

Answer 1

Square feet, square yard or acres

Question 2

1 AC = how many square feet?

Answer 2

43,560

Question 3

How many square inches are in 1 square foot?

Answer 3

144 square inches

Question 4

How many square feet are in 1 square yard?

Answer 4

9 square feet

Question 5

What is Pi rounded for the sake of this test?

Answer 5

3.1416

Question 6

What is the basic formula used for simple area computations?

Answer 6

Area = Length x Height (A=LxH)

Question 7

How do you determine the area of a trapezoid using the two parallel sides?

Answer 7

Find the average of the two parallel sides. Add side 1 to side 2 then divide by 2. Area=(a+b/2)H

Question 8

How do you convert square feet to square yards?

Answer 8

Divide by 9.

Question 9

Typical triangles where the height is perpendicular to the base can be treated as one 1/2 of a rectangle or parallelogram. What equation is used?

Answer 9

A=BH/2

Question 10

How do you find out how many square feet are in an amount totaled in square inches?

Answer 10

Divide the total by 144.

Question 11

What is the equation used if you don’t know the height of a triangle but you know the length of all sides?

Answer 11

Area= Square Root of s(s-a)(s-b)(s-c)

S=0.5(a+b+c)

Question 12

If an acre has 43,560 square feet, how many feet are in 2 and two-tenths acres?

Answer 12

95,832

Question 13

In the case of a right triangle (where the one angle is 90 degrees) we can find the length of any side if we know the length of the other two sides. What equation is used?

Answer 13

c= square root of a squared + b squared

Question 14

What does the diameter of a circle equal?

Answer 14

2 x the radius (r)

Question 15

How do you determine the circumference of a circle?

Answer 15

circumference (c) = pi x Diameter (D)

Question 16

What is the formula used to determine the area of a circle?

Answer 16

Circle Area = pi x r squared

Question 17

What is the formula used to determine the area of a sector of a circle?

Answer 17

Area of Sector = pi x r squared x angle/360

Question 18

What is a radian?

Answer 18

The ratio of the length of an arc of a circle to the length of the radius. It serves as the measurement of the central angle between two radii.

Question 19

What is the formula used to determine the amount of radians in a sector?

Answer 19

Radians = Arc/Radius

Question 20

What is the formula used to determine Centerline Length?

Answer 20

Centerline Length = (Sector Angle Degree) (Pi)(r) / 180

Question 21

What is the formula for determining the Correction Factor when determining the survey line?

Answer 21

Correction Factor = Centerline Radius/Survey Line Radius

Question 22

Suppose that 2 curves we need to measure, for a survey line inside the area and one outside the area, both have a centerline survey radii of 200 feet and the roadway had a 24 foot width. How do you determine the radii for the two curves?

Answer 22

Inside curve radius = 200’ -1/2 (24’) =188ft.

Outside curve radius= 200’ + 1/2 (24’) = 212ft.

Question 23

What is the formula used to determine the roadway width by the curve correction factor?

Answer 23

Area = (Roadway Length) x (Width) x (Curve Correction Factor)

Question 24

How do you find the inside curve radii?

Answer 24

Subtract the road width from the outside curve radii

Question 25

What is the formula used to determine the area of an a ellipses?

Answer 25

A= Pi (R) (r)

Question 26

What is the Latitude and Departure method?

Answer 26

A method of measurement utilizing offset points to calculate areas. The offset points are referenced to a surveyed baseline or centerline of construction.

Question 27

How far apart are Stations?

Answer 27

100 ft.

Question 28

How should field measurements be taken? And what should accompany odd areas?

Answer 28

Clearly on site source records. Sketches should accompany odd area records.