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Find the area of the following regular polygon. Round to nearest 10th

Find The Area Of The Following Regular Polygon Round To Nearest 10th class=

Sagot :

• We will use the following formula to calculate the area of a given polygon:

Step 1:

a = s/ ( 2tan(180/n)

a : area of polygon

s : length of a side = 5

n : number of sides in a polygon =7

Plugging this values into our equation :

a = 5 / 2 tan(180/7 )

= 5 / 2tan( 25.71)

= 5/0.9629

a = 5.19

Step 2: calculate Perimeter

P = s*n

= 5 * 7

= 35

Step 3 :

Area = ( p*a )/2

= ( 35 * 5.19)/2

= 181.65 per unit square

Rounding off the final answer to the nearesr tenth:

Area of a polygon = 181.7 per unit square

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