Polygons (Interior angles, exterior angles, number of sides and area)
A polygon has an interior angle sum of 1440°. How many sides does it have?
10 sides
What is the measure of an interior angle of a regular pentagon?
108°
What is the measure of an interior angle of a regular hexagon?
120°
What is the measure of an interior angle of a regular heptagon?
128.57°
How many sides does a polygon have if the sum of interior angles is 1980°?
13 sides
What is the measure of an interior angle of a regular octagon?
135°
What is the measure of an interior angle of a regular nonagon?
140°
What is the measure of an interior angle of a decagon?
144°
What is the measure of an interior angle of a 15-gon?
156°
A polygon has an interior angle sum of 2520°. How many sides does it have?
16 sides
What is the sum of the interior angles of an 11-gon?
1620°
What is the measure of an interior angle of a regular 24-gon?
165°
What is the measure of an interior angle of a 100-gon?
176.4
What is the measure of an interior angle of a regular 360-gon?
179°
How many sides must a regular polygon have if a measure of an interior angle is 162°?
20 sides
How many sides must a regular polygon have if the measure of an interior angle is 162°?
20 sides
If the measure of an exterior angle of a regular polygon is 15°, how many sides does it have?
24 sides
The measures of four exterior angles of a pentagon are 57°, 74°, 56°, and 66°. What is the measure of the remaining angle?
287°
A polygon has an interior angle sum of 180°. How many sides does it have?
3 sides
What is the measure of an exterior angle of a 10-gon?
36°
What is the measure of an exterior angle of a regular decagon?
36°
A polygon has an interior angle sum of 360°. How many sides does it have?
4 sides
If the exterior angle of a regular polygon is 90°, how many sides does it have?
4 sides
What is the measure of an exterior angle for a regular octagon?
45°
A polygon has an interior angle sum of 540°. How many sides does it have?
5 sides
Each interior angle of a regular pentagon has a measure of 2x+4°. What is x?
52°
A polygon has an interior angle sum of 720°. How many sides does it have?
6 sides
A regular polygon has an interior angle measuring 120°. How many sides does it have?
6 sides
How many sides does a regular polygon have if an interior angle measures 120°?
6 sides.
How many sides does a polygon have if the sum of interior angles is 900°?
7 Sides
A polygon has an interior angle sum of 900°. How many sides does it have?
7 sides
A polygon has an interior angle sum of 1080°. How many sides does it have?
8 sides
A polygon has an interior angle sum of 1260°. How many sides does it have?
9 sides
How many sides does a regular polygon have if the exterior angle measures 40°?
9 sides
If a regular polygon has an interior angle measure of 140°, how many sides does it have?
9 sides
A polygon who has 10 sides is called a _?
Decagon
1602.3 units²
Find the area of a heptagon with a side length of 21 and an apothem of 21.8
77.2 units²
Find the area of a pentagon with an apothem of 4.61.
1108.2 units²
Find the area of a regular decagon with a side length of 12.
60.34 units²
Find the area of a regular decagon with a side length of 2.8 and an apothem of 4.31.
269.52 units²
Find the area of a regular heptagon that has a side length of 13.9
8.04 units²
Find the area of a regular heptagon with a side length of 2.4.
30.56 units²
Find the area of a regular heptagon with a side length of 2.9 and an apothem of 3.011.
600√3
Find the area of a regular hexagon with a perimeter of 120.
294√3
Find the area of a regular hexagon with a perimeter of 84.
259.81 units²
Find the area of a regular hexagon with a side length of 10.
54√3
Find the area of a regular hexagon with a side length of 6.
120.16 units²
Find the area of a regular hexagon with a side length of 6.8.
146.25 units²
Find the area of a regular hexagon with a side length of 7.5 and an apothem of 6.5.
96√3
Find the area of a regular hexagon with a side length of 8.
24√3
Find the area of a regular hexagon with an apothem of 2√3
498.96 units²
Find the area of a regular hexagon with an apothem of 6.93.
216√3
Find the area of a regular hexagon with an apothem of 6√3
221.7 units²
Find the area of a regular hexagon with an apothem of 8.
67.27 units²
Find the area of a regular nonagon with a side length of 3.3 and an apothem of 4.53.
660.96 units²
Find the area of a regular octagon with a side length of 11.7.
696 units²
Find the area of a regular octagon with a side length of 12.
278.65 units²
Find the area of a regular octagon with an apothem of 9.17.
193.45 units²
Find the area of a regular pentagon with a side length of 10.6 and an apothem of 7.3.
94.21 units²
Find the area of a regular pentagon with a side length of 7.4.
95.625 units²
Find the area of a regular pentagon with a side length of 7.5 and an apothem of 5.1.
150
Find the area of a regular polygon with a p = 25 and a = 12
272
Find the area of a regular polygon with a p = 32 a = 17
48
Find the area of a regular polygon with a perimeter of 12 and apothem of 8.
16√3
Find the area of an equilateral triangle that has a side of 8.
129.9 units²
Find the area of an equilateral triangle with a side length of 10.
A polygon who has 7 sides is called a _?
Heptagon
A polygon who has 6 sides is called a _?
Hexagon
A polygon that has 9 sides is called a _?
Nonagon
A polygon who has 8 sides is called a _?
Octagon
A polygon who has 5 sides is called a _?
Pentagon
A polygon who has n sides is called a _?
n-gon
