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

1. 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.
2. The area under a curve in a graph can be found using integration techniques.
3. In algebraic applications, solving equations involving area often requires setting up and solving quadratic equations.
4. Comparing areas can involve inequalities, requiring an understanding of how to solve and graph them.
5. 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?

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.