Showing posts with label rectangle. Show all posts
Showing posts with label rectangle. Show all posts

Sunday, November 18, 2012

Formulas for area

What is area?
Area is the size of a particular surface. And each shape has a special formula to calculate it's own area. I know a lot of people struggle with formulas and trying to remember what formula belongs to what shape. So I wanted to make a post that clearly states the name of the simple shape and provides the formula and a visual. I looked on many websites for a picture that would provide all of that information. I found one I really like from mathisfun.com. I originally thought about typing it all out and trying to find a picture to match my examples but this turned out to be much easier and I think a lot clearer. So bellow is the picture I found that clearly states the name of the shape, shows you it, and provides the formula for area.

Triangle
Area = ½ × b × h
b = base
h = vertical height
Square
Area = a2
a = length of side
Rectangle
Area = w × h
w = width
h = height
Parallelogram
Area = b × h
b = base
h = vertical height
Trapezoid (US)
Trapezium (UK)
Area = ½(a+b) × h
h = vertical height
Circle
Area = π × r2
Circumference = 2 × π × r
r = radius
Ellipse
Area = πab
Sector
Area = ½ × r2 × θ
r = radius
θ = angle in radians


I know we have gone over a few in class, but for me (and I hope I am not alone) sometimes when we learn them in class it feels scattered and we hear about them at different times. Which is fine for a lot of people. But I am one of those people that likes to see it all together and visually be able to compare them. It just makes it easier for me to remember them.

Here is a link to the website that provided the photo above.