Understanding Area Formulas for Basic Shapes: Rectangle, Triangle, Circle, and More

Feb 07, 2026

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This guide explores the area formulas for fundamental geometric shapes including rectangles, triangles, trapezoids, and circles. Each formula is presented with clear definitions where the base and height are always at right angles. The area of a rectangle is calculated as A = bh, while the area of a triangle is A = ½ bh. For trapezoids, the formula is A = ½ h(base1 + base2), and for circles, it's A = πr². The text also features memory tricks for circle formulas and provides insights on semicircles and quarter-circles.

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Understanding Area Formulas for Basic Shapes: Rectangle, Triangle, Circle, and More

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Presentation Transcript

Where do Area Formulas Come From?
Important Terms: Base and Height • Base and height always make a right angle.
The Rectangle: A Basic Shape The Basic Grid: 12 units2 A = bh
The Parallelogram • A = bh
The Triangle • A = ½ bh
The Trapezoid
Summary • Area of a rectangle = bh • Area of a square = s2 • Area of a triangle = ½ bh • Area of a trapezoid = ½ h(base 1 + base 2)
Area of a Circle • A =πr2
Easy Way to Memorize Circle Formulas • C =πd • A =πr2 Circumference Formula Area Formula “Cherry pie’s delicious, apple pies are too”
What are the area formulas for these shapes? The Semicircle The Quarter-Circle