# What degree is the interior angle of a hexagon?

## What degree is the interior angle of a hexagon?

720 degrees
Correct answer: The sum of the interior angles of a hexagon must equal 720 degrees.

What is the radian measure of interior angle?

Each exterior angle is 360/5 = 72 degrees and each interior angle is 180–72 = 108 degrees. 180 degrees = (pi) radians, so 108 degrees = (108/180) radians or (3/5) radians. So the interior angle is 108 degrees or (3/5) radians.

Does a hexagon add up to 180?

Notice that the number of triangles is two less than the number of sides of the original polygon. The angles in each triangle add up to 180°. So the sum of the angles in the original hexagon is 180° x (n-2) = 180° x 4 = 720°.

### Is a hexagon 360 degrees?

Properties of a Regular Hexagon: It has six sides and six angles. Lengths of all the sides and the measurement of all the angles are equal. The sum of all exterior angles is equal to 360 degrees, where each exterior angle measures 60 degrees.

What is the measure of internal angle of regular hexagon?

120°
Answer: The measure of an angle in a regular hexagon is 120°. A regular hexagon has all angles of the same measure and all sides of the same length.

How do you find the interior and exterior angles of a hexagon?

The formula used for finding the measure of interior angle of a polygon is given as: d=180(n−1)n, “d” represents interior angle and n is the number of sides in the polygon. So, the value of d or interior angle is 120 degrees. Therefore, the exterior angle of a regular hexagon will be = 180 – 120 = 60 degrees.

#### What is the radian measure of interior angle of regular hexagon?

Answer: Pentagon : exterior angle = 72° or 2π / 5 and interior angle= 108° or 3π / 5. Hexagon : exterior angle = 60° or π / 3 and interior angle= 120° or 2π/ 3. Septagon : exterior angle = (360° / 7) or 51.42° or 2π / 7 and interior angle= 900° / 7 or 128.57° or 5π / 7 .

What is the radian measure of interior angle of a regular Heptagon?

A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians (1284⁄7 degrees). Its Schläfli symbol is {7}.

Are hexagon sides equal?

Hexagons are six sided figures and possess the following shape: In a regular hexagon, all sides equal the same length and all interior angles have the same measure; therefore, we can write the following expression.

## What is the angle of a 6 sided shape?

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Does an irregular hexagon have 720 degrees?

In geometry, a hexagon (from Greek ἕξ, hex, meaning “six”, and γωνία, gonía, meaning “corner, angle”) is a six-sided polygon or 6-gon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°….Hexagon.

Regular hexagon
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

Is a circle 720 degrees?

A full rotation is 360 degrees It means turning around until you point in the same direction again. “Doing a 360” means spinning around completely once (spinning around twice is a “720”).

### What is the total of the interior angles of a hexagon?

In geometry, a hexagon (from Greek ἕξ hex, “six” and γωνία, gonía, “corner, angle”) is a six-sided polygon or 6-gon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

How many degrees in an exterior angle of a hexagon?

The General Rule If it is a Regular Polygon (all sides ar Pentagon 5 540 ° 108 ° Hexagon 6 720 ° 120 ° Heptagon (or Septagon) 7 900 ° 128.57… ° Octagon 8 1080 ° 135 °

How many interior angles does a regular hexagon have?

A regular hexagon has 6 equal exterior and 6 equal interior angles. The sum of the exterior angles is 360 deg, hence each exterior angle is 360/6 = 60. The interior angle being supplementary of the exterior, its value will be 180–60 = 120 deg.

#### What is the outside angle for a hexagon?

For any polygon the outside angles always add to 360 degrees. If it’s a regular hexagon then the angles are all 360/N or 60 degrees and the interior angles are all 180 minus that number or 120 degrees. So six angles of 120 degrees add up to 720 degrees.