Geometry Area Formulas Review

A set of flashcards summarizing key area formulas and concepts related to geometry.

Area of a rectangle

A = l × w, where l is the length and w is the width.

Area of a triangle

A = (b × h) / 2, where b is the base and h is the height.

Area of a circle

A = πr², where r is the radius.

Area of a trapezoid

A = (b1 + b2)h / 2, where b1 and b2 are the lengths of the parallel sides, and h is the height.

Area of a rhombus

A = (d1 × d2) / 2, where d1 and d2 are the lengths of the diagonals.

Area of a kite

A = (d1 × d2) / 2, where d1 and d2 are the lengths of the diagonals.

Area of a parallelogram

A = b × h, where b is the length of the base and h is the height.

Area of a hexagon

A = (3√3/2) s², where s is the side length.

Area of a regular polygon

A = (1/2) × Perimeter × Apothem.

Area of overlapping triangles

The area can be calculated by subtracting the area of the intersection from the total area of both triangles.

What is the area of a kite?

The area of a kite can be calculated using the formula: A = \frac{1}{2} \times d1 \times d2 , where $d1$ and $d2$ are the lengths of the diagonals.

Example 1 of area of a kite

For a kite with diagonals of lengths 8 cm and 6 cm, the area is: A = \frac{1}{2} \times 8 \times 6 = 24 \text{ cm}^2 .

Example 2 of area of a kite

For a kite with diagonals of lengths 10 m and 4 m, the area is: A = \frac{1}{2} \times 10 \times 4 = 20 \text{ m}^2 .

What is the area of a rhombus?

The area of a rhombus can be calculated using the formula: A = \frac{1}{2} \times d1 \times d2 , where $d1$ and $d2$ are the lengths of the diagonals.

Example 1 of area of a rhombus

For a rhombus with diagonals of lengths 12 cm and 5 cm, the area is: A = \frac{1}{2} \times 12 \times 5 = 30 \text{ cm}^2 .

Example 2 of area of a rhombus

For a rhombus with diagonals of lengths 14 m and 6 m, the area is: A = \frac{1}{2} \times 14 \times 6 = 42 \text{ m}^2 .