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How do you find the area of a decagon with a radius of 5?
Examples on Area of Decagon
- As we know, the area of the decagon = 5a2/2 × √5+2√5.
- ⇒ Area of a decagon = 5 × 102/2 × √5+2√5.
- ⇒ Area of a decagon = 250 × √5+2√5 5 + 2 5 ≈ 769.42 square units. Therefore, the area of the regular decagon is 769.42 square units.
How do you find the radius of a decagon?
r = s/2sin(180/n) where r is the radius, s is the length of any side, n is the number of sides and the angle measure is in degrees.
How do you find the area of a regular dodecagon?
The formula for finding the area of a regular dodecagon is: A = 3 × ( 2 + √3 ) × s2 , where A = the area of the dodecagon, s = the length of its side. For example, if the side of a regular dodecagon measures 8 units, the area of this dodecagon will be: A = 3 × ( 2 + √3 ) × s2 .
What’s a regular decagon?
Types of Decagons: Decagons can be categorized as regular and irregular. A regular decagon is a decagon with all sides equal in length and all the angles equal in measure. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.
How do you find the area of a 10 sided shape?
Solution: Given, side of a regular decagon = 2 units. The formula to find the area of a decagon = 5a22×√5+2√5 5 a 2 2 × 5 + 2 5 , where a is the measurement of the side of the decagon. Therefore, the area of the given regular decagon is 30.77 square units.
How do you find the area of a 10 sided polygon?
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.
How many sides does a regular decagon have?
ten sides
A decagon can be defined as a polygon having ten sides, ten interior angles and ten vertices.
What is regular decagon?
A regular decagon has all sides of equal length and each internal angle will always be equal to 144°. Its Schläfli symbol is {10} and can also be constructed as a truncated pentagon, t{5}, a quasiregular decagon alternating two types of edges.
How many sides does a regular decagon?