Interior Angles
What is the equation for finding the interior angle of a polygon?
180(n-2)
Exterior angles add up to equal how many degrees?
360
What does n stand for?
ex: 180 (n-2)
Number of sides
Find the area of a regular hexagon (6 sides) with side lengths of 9 inches, and an apothem of 7.79 inches.
A = 1/2 (6)(7.79)(9)
A = 210.3
The sum of the interior angles of a polygon is 900 degrees. Determine the number of sides.
Heptagon (7)
What is the sum of interior angles of 4 sided polygon?
360
What is the value of x if the external angle measurements of a quadrilateral (4 sides) with the angle measurements of:
31, 91, 159, x
x = 79
What is the formula for area of a rectangle?
length x width
l x w
Find the area of an equilateral triangle with sides length of 14 foot, and an apothem of 4.04 foot.
A = 1/2 (4.04)(14)(3)
A = 84.8
If an exterior angle of a regular polygon measures 24 degrees, how many sides does the polygon have?
360/24 = 15
15 sides
What is the sum of the interior angles of a 7 sided polygon?
900
All polygons, no matter the number of sides, exterior angles add up to equal 180?
True OR False
False
Area of a triangle?
1/2(b x h)
Find the area of a Decagon (10 sides) with side lengths of 3 yards, and an apothem of 4.62 yards.
A = 1/2 (10)(4.62)(3)
A = 69.3
How many diagonals does a 15 sided polygon have?
n-2 = 13
What is the value of x in a six sided figure with the following angle measurements?
102, 147, 70, 128, 138, x
x = 135
What formula gives the measure of external angles in a Pentagon (5 sides)?
360/n
360/5 = 72
What does ap represent?
Apothem
What is the area of a Heptagon (7 sides) with an apothem of 5.19 feet and a side length of 5 feet?
A = 1/2 (7)(5.19)(5)
A = 90.8
Find the area of a regular hexagon with a side length of 8 cm.
A = 166.32 cm
What is the sum of the interior angles of a 10 sized polygon?
1440
The measure of one interior angle of a regular polygon is 144 degrees. How many sides does it have?
n = 10
180 (n-2) = 144
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n
Area of a polygon?
A=1/2 (n)(ap)(s)
What is the area of a Pentagon (5 sides) with an apothem of 3.44 foot and a side length of 5 foot?
A = 1/2 (5)(3.44)(5)
A = 43
How many sides does an Octagon have?
8