Vocabulary
The perimeter consists of
What is the sum of the side lengths?
True or false: We use sin to find the apothem/half of a side length in a regular polygon.
False -- we use tangent to find the apothem/half of a side length in a regular polygon
Angle of depression: an angle formed by a __________________ line and the line of site to an object (when looking ___________ at something)
horizontal, down
This polygon has an interior angle sum of 540
What is a pentagon?
Find the area of a circle when the diameter is 21 feet. Round area to the nearest tenth.
What is 346.4 ft2
The characteristics of a regular polygon
What are equal side lengths and equal angle measures?
The formula for the area of a regular polygon
What is (aP/2)?
A 25-foot ladder leans against a wall so that the base of the ladder is 7 feet from the base of the building. What is the ladder’s angle of elevation? Round to nearest degree
What is 74o
We use tan(30) to find the apothem or half the side length for this polygon
What is a hexagon?
The total perimeter of a shape is 114cm. The apothem is the same length as 1/6 its perimeter. The shape is a hexagon, what is the area?
What is 1,083 cm2
"Away from" and "shadow" are related to which direction?
What is horizontal?
The side length is 6 in an octagon. Set up an equation for solving for the apothem. Do NOT solve
What is a=3/tan(22.5)?
The relationship between the angle of elevation and depression
What are alternate interior angles?
What are equal angles?
This polygon has equilateral triangles in it
What is a hexagon?
If a shape has a perimeter of 15 yards and the side length is 1 third its perimeter and the apothem is half times 1 third its perimeter, what is the area of this shape?
What is 18.75 yds2
This triangle has three 60 degree angles
What is an equilateral triangle?
The formula for finding the sum of the interior angles in a polygon
What is (n-2)*180?
An airplane rises vertically 1000 feet over a horizontal distance of 5280 feet. What is the angle of elevation of the airplane’s path? Round to nearest tenth
What is 10.7o
A regular polygon whose interior angles add up to 360
What is a square?
Find the area of a pentagon if the apothem is 5.74 cm and the side length is 4 times the apothem. Round only the FINAL answer to the hundredths place
What is 329.48 cm2
What does the apothem do? (Definition)
It connects the center of the polygon to the midpoint of a side
What is ⁴⁄₃πr3
An escalator from the ground floor to the second floor of a department store is 110 ft long and rises 32 ft. vertically. What is the escalator’s angle of elevation? Round to nearest tenth
What is 16.9o
Each interior angle of this polygon is 135
What is an octagon
Find the area of a octagon if the length of one side is 7.9cm. Round all information to nearest tenth
What is 300.2 cm2