how to find the apothem of a polygon Solved Examples Example 1 Help Bryan find the length of the apothem of a regular pentagon of side 10 10 inches and area 150 3 inches2 150 3 inches 2 Solution Given L L 10 10 inches A A 150 3 inches2 150 3 inches 2 So the perimeter will be P P 10 5 10 5 50 50 inches
Below is the process of how to find the apothem of a polygon First start with the formula for the area of a regular polygon A 1 2 a P where A area of the polygon P is the The apothem of a regular polygon is a line segment that runs from the center of the polygon to the midpoint of one side The word apothem can also refer to the length of that line segment To find the apothem you need to know two things the length of one side of the polygon and the measure of one its angles
how to find the apothem of a polygon
how to find the apothem of a polygon
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Derivation Of Formula For Area Of Regular Polygons With Side And
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Area Of Regular Polygon Apothem
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Steps to Calculate the Apothem of a Regular Polygon Calculating the apothem of a regular polygon involves a few simple steps Once you have identified a regular polygon follow these steps to find its apothem Measure the Side Length Start by measuring the length of one side of the regular polygon Make sure to measure it The apothem depends on the side length and number of sides in the polygon The formula to find the apothem a of a regular polygon is a frac s 2 times tan left frac 180 n right Where a is the apothem s is the length of a side n is the number of sides in the polygon This formula looks complicated but don t worry
Apothem of a regular polygon with n sides and one side as a is a 2cot pi n Apothem is the line joining the center of a regular polygon to the middle point any of its side It is also the radius of incircle of the regular polygon Assume there are n sides of the polygon and each side is a Joining center of the polygon to two ends of 1 Divide the hexagon into six congruent equilateral triangles To do this draw a line connecting each vertex or point with the vertex opposite 2 Choose one triangle and label the length of its base This is equal to the side length of the hexagon For example you might have a hexagon with a side length of 8 cm
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Apothem of a hexagon Graphs of side s apothem a and area A of regular polygons of n sides and circumradius 1 with the base b of a rectangle with the same area The green line shows the case n 6 The apothem sometimes abbreviated as apo 1 of a regular polygon is a line segment from the center to the midpoint of one of its sides Chords Apothem Given a circle the apothem is the perpendicular distance from the midpoint of a chord to the circle s center It is also equal to the radius minus the sagitta For a regular polygon the apothem simply is the distance from the center to a side i e the inradius of the polygon
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ShowMe Apothem
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Area Of A Regular Polygon Given Only Apothem YouTube
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how to find the apothem of a polygon - Steps to Calculate the Apothem of a Regular Polygon Calculating the apothem of a regular polygon involves a few simple steps Once you have identified a regular polygon follow these steps to find its apothem Measure the Side Length Start by measuring the length of one side of the regular polygon Make sure to measure it