Interior Angles
What is the equation for finding the interior angle of a polygon?
180(n-2)
All polygons, no matter the number of sides, exterior angles add up to equal 180?
True OR False
False
What does n stand for?
ex: 180 (n-2)
Number of sides
Area of a polygon?
A=1/2 (aP) or
A=(aP)/2
How many sides does an Octagon have?
8
What is the sum of interior angles of 4 sided polygon?
360
Exterior angles add up to equal how many degrees?
360
What is the formula for area of a rectangle?
length x width
l x w
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 (7.79)(6)(9)
A = 210.3
How many diagonals (triangles) does a 15 sided polygon have?
n-2 = 13
What is the sum of the interior angles of a 7 sided polygon?
900
What formula gives the measure of external angles in a Pentagon (5 sides)?
360/n
360/5 = 72
In the formula for the area of a regular polygon, what does the P stand for?
A=(aP)/2
P = perimeter of the polygon
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)(3)(14)
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 10 sized polygon?
1440
The measure of one interior angle of a regular polygon is 144 degrees. How many sides does it have?
10
180 - 144 = 36
360/36 = 10
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 (4.62)(3)(10)
A = 69.3
The sum of the interior angles of a polygon is 900 degrees. Determine the number of sides.
Heptagon (7)
900/180 = 5
5 + 2 =7