which one of the following is true statement about a circle inscribed in a regular polygon?
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The sides of the polygon are tangents of the circle is a true statement about a circle inscribed in a regular polygon. The sides of the polygon are tangents of the circle is a true statement about a circle inscribed in a regular polygon.
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Regular tessellation We have already seen that the regular pentagon does not tessellate. A regular polygon with more than six sides has a corner angle larger than 120° (which is 360°/3) and smaller than 180° (which is 360°/2) so it cannot evenly divide 360°.
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['A straight line segment may be drawn from any given point to any other.', 'A straight line may be extended to any finite length.', 'A circle may be described with any given point as its center and any distance as its radius.', 'All right angles are congruent.']
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A trapezoid has one pair of parallel sides. A regular polygon has congruent sides and angles. A pentagon can not be an irregular polygon.
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Polygons are congruent if they are equal in all respects: Same number of sides. All corresponding sides are the same length, All corresponding interior angles are the same measure.
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Regular Hexagons ' A regular hexagon has six sides that are all congruent, or equal in measurement. A regular hexagon is convex, meaning that the points of the hexagon all point outward. All of the angles of a regular hexagon are congruent and measure 120 degrees.
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Thus, x = r/√2 and y = r/√2. Solving for the width and height and noting 2r is equal to the diameter d we have: The width and height have the same length; therefore, the rectangle with the largest area that can be inscribed in a circle is a square.
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AB is a line segment of length 48 cm and C is its mid-point. If three semicircles are drawn at AB, AC and CB using as diameters, then radius of the circle inscribed in the space enclosed by three semicircles is.
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All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°.
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In summary, the central angle in a circle is the angle formed by two radius lines. An inscribed angle is the angle formed by points on the circle's circumference.
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A regular polygon is a polygon where all of the side lengths are equal and all of the angle measures are equal. ... However, the sides are not congruent. Therefore, it is an irregular pentagon. Irregular polygons have side lengths that are not congruent.
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A square is composed of 4 sides (line segments) that are of equal length AND the interior vertices are all 90°. If you find the center of a square it will never be 'equal distant from all points on the square' Therefore math has proven that a square is not a circle and will henceforth will never be a circle.
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A regular polygon must be equilateral (all of its sides are the same length) and equiangular (all of its angles are the same measure). A rhombus is equilateral: all of its sides are of the same length. ... A rhombus can never be a regular polygon because it is not equiangular.
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A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
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What is the difference between constructing a regular hexagon and constructing an equilateral triangle? For the hexagon construction, every arc along the circle is connected, but for the equilateral triangle construction, every other arc along the circle is connected.
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To keep all the interior angles obtuse, the polygon has to be convex. If all the angles are the smallest possible whole number, they will all be 1 degree. You can finish this off, knowing that all the angles are the same (1 degree) size and that the sum is 360 degrees.
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Polygons. A polygon is a closed plane figure with three or more sides that are all straight. ... A circle is not a polygon as it does not have straight sides.