See the answer. Another important part of a pentagon is the apothem and the area. Side of polygon given area. Add your answer and earn points. Area of a Pentagon: A pentagon is a polygon with five sides. Question: Find The Area Of A Regular Pentagon With A Radius Of 7 Cm. The perimeter of the pentagon is `2*5*8*sin 36` = 47.02 m. The radius is a line that goes from the center of the polygon into an elbow (or vertex if you prefer the technical babble) of the polygon — splitting that angle evenly into two. To find the area of a regular pentagon, you can use the formula area is equal to n multiplied by r raised to the second power time tan pi/n, where n is the number of sides or 5 and r is the radius. How do you find the area of a pentagon with an 8cm radius? Area of regular pentagon can be found out in 2 ways. Area of Pentagon is given by 5/2 x s x a; where s is the side of the Pentagon, and a … Most of the time, you will be tasked with finding the area of a regular pentagon, so this lesson will not cover irregular pentagons. Picture the centre of the circle with 5 line segments of length 10 radiating out, with equal angles between each segment. Find the area of an irregular shape.Round to the nearest tenth. To calculate the area of a regular polygon given the radius (assuming in this case you mean the distance from the center of the shape to a vertex of the shape), you can always use the following formula: area = [(r²n)(sin(360/n)]/2, where "r" is the radius and "n" is the number of sides to your polygon. There are a couple of methods you can use to calculate the area of a regular pentagon. Question 2: A landscaper wants to plant begonias along the edges of a triangular plot of land in Winton Woods Park. The area of a "kite" with diagonals #d# and #w# is #color(white)("XXX")"Area"_"kite"=(d*w)/2#. Now, the Pentagon area is derived by multiplying side and apothem length with (5/2). Area of a Pentagon Calculator. Area of a cyclic quadrilateral. The Instruction and How to use the calculator online to count the Area and Perimeter of Pentagon. Now draw chords between adjacent points on the circle. Types of pentagons. Question 423495: Find Area of a pentagon with radius 9cm Answer by Alan3354(67286) (Show Source): You can put this solution on YOUR website! Therefore, the total distance across is Formulas Any pentagon that is not regular is called irregular. 3. (Round to the nearest tenth.) The area is calculated by using the formula A=(r^2)*n*sin(360/n)/2 where n is the number of sides which is 5 for pentagon and r is the radius which is 9 mm. Pentagon is a polygon with 5 equal sides and with the angle of 108 degrees each. Expert Answer you want to find the length of the base of the triangle formed. The apothem area of pentagon is calculated using the length of its side and the number of sides. Therefore, the area equation is and the apothem is 590.66 ft. To find the radius, we can either use the Pythagorean Theorem, with the apothem and half the length of a side or the sine ratio. Area of a Pentagon is the amount of space occupied by the pentagon. Here we will see how to get the area of an n-sided regular polygon whose radius is given. That means we can carve the pentagon into smaller shapes we can easily find the area of and add (or multiply). Area of a circle. Imagine a collapsed roof of a house. 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