3.8
You can work out the radius firstly.
The apothem and side length are not consistent. That is, a decagon with an apothem of 3.8 cm cannot have a side length of 2.5 cm.If the apothem is 3.8 cm then area = 46.9 cm2 whileif the side length is 2.5 cm then area = 48.1 cm2.The two answers agree at the tens place and so the most accurate answer is 50 cm2 to the nearest 10.
378 cm ^2
130 to find the area of any regular polygon, multiply the perimeter by one-half the apothem. This is the same as multiplying the side-lengths by the number of sides by one-half the apothem.
10.4 cm
Area of a regular polygon equals to the one half of the product of its perimeter with the apothem. So we have: A = (1/2)(a)(P) Since our polygon has 10 sides each with length 1.2, the perimeter is 12 910 x 1.2). Substitute 12 for the perimeter, and 1.85 for the apothem in the area formula: A = (1/2)(a)(P) A = (1/2)(1.85)(12) A = 11.1 Thus, the area of the decagon is 11.1.
None are guaranteed.If it is a regular decagon (convex, with all side lengths equal and all angle measures equal), then there are 10 lines of symmetry.
36 degrees
An apothem is a line segment from the center of a regular polygon to the midpoint of a side.
Any Polygon can be a regular figure, if the figure has all straight sides and edges, with all the same length. If the decagon had all straight edges, sides, and same lengths of sides, it would be a regular figure. Otherwise, it would not, and would be an irregular Decagon. * * * * * That is not a correct answer. Any polygon, by definition MUST have all straight sides (which are the same as edges). What makes a polygon regular is that all the sides are the same length AND that all the interior angles are the same measure. Both these conditions must be met.
45 cm
With the information given it is not possible. Does 24 ft refer to a length of a side, the longest side, the shortest side, a diagonal, an apothem? Knowing the answer to that question can only help if the decagon is regular - and on the basis of the question, there is no reason to assume regularity.