How To

How To Find The Area

How to Find the Area

The area of a figure is the amount of space that it takes up. It is measured in square units, such as square inches, square feet, or square meters. To find the area of a figure, you need to know its dimensions. The dimensions of a figure are its length and width.

How to Find the Area of a Rectangle

The area of a rectangle is found by multiplying its length by its width. For example, a rectangle that is 5 inches long and 3 inches wide has an area of 15 square inches.

Area = length × width

How to Find the Area of a Triangle

The area of a triangle is found by multiplying its base by its height and then dividing by 2. For example, a triangle that has a base of 5 inches and a height of 3 inches has an area of 7.5 square inches.

Area = (base × height) / 2

How to Find the Area of a Circle

The area of a circle is found by multiplying the square of its radius by π. For example, a circle that has a radius of 3 inches has an area of 28.27 square inches.

Area = πr²

How to Find the Area of a Trapezoid

The area of a trapezoid is found by multiplying its height by the average of its bases. For example, a trapezoid that has a height of 5 inches and bases of 3 inches and 7 inches has an area of 25 square inches.

Area = height × (base1 + base2) / 2

How to Find the Area of a Parallelogram

The area of a parallelogram is found by multiplying its base by its height. For example, a parallelogram that has a base of 5 inches and a height of 3 inches has an area of 15 square inches.

Area = base × height

How to Find the Area of a Regular Polygon

The area of a regular polygon is found by multiplying its perimeter by its apothem and then dividing by 2. For example, a regular hexagon that has a perimeter of 12 inches and an apothem of 2 inches has an area of 12 square inches.

Area = (perimeter × apothem) / 2

FAQ

  • What is the difference between area and perimeter?

Area is the amount of space that a figure takes up, while perimeter is the distance around the edge of a figure.

  • What are the units of area?

The units of area are square units, such as square inches, square feet, or square meters.

  • How do I find the area of an irregular figure?

To find the area of an irregular figure, you need to divide it into regular figures and then find the area of each regular figure. The sum of the areas of the regular figures will be the area of the irregular figure.

  • What is the formula for the area of a circle?

The formula for the area of a circle is A = πr², where r is the radius of the circle.

  • What is the formula for the area of a triangle?

The formula for the area of a triangle is A = (bh)/2, where b is the base of the triangle and h is the height of the triangle.

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