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lana [24]
1 year ago
15

O is the center of the regular decagon below. Find its perimeter. Round to the

Mathematics
1 answer:
dangina [55]1 year ago
7 0

The perimeter of the regular decagon is 110.5

<h3>what is a Decagon?</h3>

A Decagon is a polygon with 10 sides and 10 angles.
A Polygon can be regular or irregular.  When the polygon is regular, we say that the sides of the polygon are equal.

Analysis:

The sum of the interior angles of a polygon is given by : (n - 2 ) x 180

number of sides of a decagon (n) = 10

(10-2) x 180 = 1440°

So each interior angle is 1440/10 = 144°

in the diagram, if we draw a line from o to bisect  the angle, we form a right angle triangle with 72°. Also the 17 line divides the side of the polygon into two since it is a line drawn from the center of the decagon.

To find the base of the triangle, we use trigonometric ratios

tan 72 = 17/base

base = 17/tan72

base = 17/3.0776

base = 5.523

to find the side of the decagon, we multiply by 2

side of decagon = 2 x 5.523 = 11.046

perimeter of decagon = 10 x side of decagon

perimeter of decagon = 110.5

in Conclusion, the perimeter of the regular decagon is : 110.5

Learn more about polygon : brainly.com/question/1592456

#SPJ1

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Answer:

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Step-by-step explanation:

3d^2 + 18d -21 =(3d -3)( d + 7)

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3 years ago
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Step-by-step explanation:

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