SAT Math · Study & Practice
Area and Perimeter
Area measures the space inside a shape; perimeter measures the distance around it. This chapter covers both for rectangles, squares, triangles, trapezoids and circles, plus composite figures. Read each topic, work the problems with the hint ladder, then take the 8-question topic test.
Topics
1
Rectangles
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2
Squares
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3
Triangles
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4
Trapezoids
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5
Circles
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6
Composite Figures
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Chapter test
Formula Reference Sheet
This chapter
Area
| Rectangle | length × width |
|---|---|
| Triangle | ½ × base × height |
| Trapezoid | ½(b₁ + b₂) × height |
| Circle | πr² |
Perimeter
| Rectangle | 2(length + width) |
|---|---|
| Square | 4 × side |
| Circle (circumference) | 2πr |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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