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Area Equations
More Area Equations
Volume Equations
Arc Length/Sector Area
?
100
This is the area formula for squares and rectangles.
What is Length x Width? (s² also acceptable for squares)
100
This is the area formula of a circle.
What is πr²?
100
These are the LA, SA, and V equations for a prism.
What are: LA=ph? SA= LA + 2B? V= Bh? B= AREA of base
100
This letter represents arc length.
What is 's'?
100
If two triangles have congruent bases, the ratio of their areas is equal to this.
What is the ratio of their heights?
200
These are the area formulas for Parallelograms v.s Triangles.
What are: A of Parallelogram: Base x Height? A of Triangle: 1/2 x Base x Height?
200
The Area Congruence Postulate states that...
If two figures are congruent, they have the same area.
200
These are the LA, SA, and V equations for a pyramid.
What are LA= 1/2pl? SA= LA + B? V= 1/3Bh? B= AREA of base l= SLANT height p= perimeter h= Height
200
Arc Length is proportional to this edge of a circle.
What is the circumference?
200
This shape forms congruent, equilateral triangles when you divide it.
What is a hexagon?
300
This is the area formula of a Rhombus.
What is 1/2 x d1 x d2? (d= diagonals) (Also acceptable Base x Height)
300
Is the converse of The Area Congruence Postulate true?
No. If two figures have the same area they are not necessarily congruent.
300
LA= 2πrh for this 3D figure.
What is a cylinder?
300
Sector area is proportional to this part of a circle.
What is the area?
300
To figures are similar with a scale factor of 5:7. If the area of the larger one is 14, what is the area of the smaller one?
A small 5² --------- = ------ --> 350= 49 x A small --> 14 7² 350 ----- = A of small 49 A of small= 7.14
400
1/2 x h x (b1+b2) (b1 and b2 are the bases) is the area formula for this shape.
What is a trapezoid?
400
The Area Addition Postulate states...
The area of a region is the sum of the areas of it's NON-OVERLAPPING parts.
400
V= 1/3(πr²)h for this 3D figure.
What is a cone?
400
Central angle _______ Sector area --------------- = ------------ = --------------- ______ 2πr ________
1) 360 2) Arc Length 3) πr²
400
If you unfold a cylinder it looks like this:
Images should be drawn onto boards.
500
This is the area formula of a REGULAR polygon.
What is 1/2 x a x p? (a= apothem) (p= perimeter)
500
Look at the drawing on the big white board. Can this line be straight?
No, the slopes are not equal.
500
These are the area and volumes for a sphere.
What are: A=4πr²? V= 4/3πr³?
500
This letter represents sector area.
What is 'k'?
500
Similar solids must be the same shape and must have:
What are proportional sides? (All linear dimensions must be proportional: height, radius, slant height, etc.)