How To Calculate Perimeter And Area Ratio
The perimeter of a shape is the measure of the length of a shape around its outermost extremities. The area of a shape is the amount of two-dimensional space that it covers. The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area. This is easily calculated.
Circle
Step 1
Find the radius of your circle. This is the distance from the center to the outer edge.
Step 2
Calculate the perimeter or circumference of the circle. This can be done using the equation
\(C=2\pi r\)
where r is the radius.
Step 3
Calculate the area of the circle. This can be done using the equation
\(\text{Area}=\pi r^2\)
where r is the radius of the circle.
Step 4
Divide the perimeter by the area to obtain the ration of perimeter to area.
Rectangle
Step 1
Find the length and width of the rectangle. This will be the measurement of one of the long sides and one of the short sides.
Step 2
Calculate the perimeter using the formula
\(2(b+w)=P\)
where b is the base and w is the width.
Step 3
Calculate the area using the formula
\(A=bw\)
where b is the base and w is the width.
Step 4
Divide the perimeter by the area to obtain the ration of the perimeter to the area.
TL;DR (Too Long; Didn't Read)
There are an infinite variety of shapes. If you don't know the formulas for a shape, get creative and try breaking it down into smaller rectangles.
References
Cite This Article
MLA
Infiesto, Josh. "How To Calculate Perimeter And Area Ratio" sciencing.com, https://www.sciencing.com/calculate-perimeter-area-ratio-8144194/. 26 October 2020.
APA
Infiesto, Josh. (2020, October 26). How To Calculate Perimeter And Area Ratio. sciencing.com. Retrieved from https://www.sciencing.com/calculate-perimeter-area-ratio-8144194/
Chicago
Infiesto, Josh. How To Calculate Perimeter And Area Ratio last modified August 30, 2022. https://www.sciencing.com/calculate-perimeter-area-ratio-8144194/