Area
Definition
Area is the measure of the extent of a two-dimensional figure or shape in a plane. It is expressed in square units.
5 Must Know Facts For Your Next Test
- Area can be calculated using different formulas depending on the geometric shape, such as $A = l \times w$ for rectangles and $A = \pi r^2$ for circles.
- The area under a curve in a graph can be found using integration techniques.
- In algebraic applications, solving equations involving area often requires setting up and solving quadratic equations.
- Comparing areas can involve inequalities, requiring an understanding of how to solve and graph them.
- Units of area include square meters (m^2), square centimeters (cm^2), and other square units.
Review Questions
- What is the formula for finding the area of a rectangle?
- How do you find the area under a curve in a coordinate plane?
- When comparing areas, what mathematical concept might you use to show one area is larger than another?
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Related terms
Perimeter: The continuous line forming the boundary of a closed geometric figure.
Volume: The amount of space occupied by a three-dimensional object, expressed in cubic units.
Quadratic Equation: $ax^2 + bx + c = 0$, where $a$, $b$, and $c$ are constants and $x$ represents an unknown variable.
