Area of Shapes – Types, Explanation and FAQs

Area of Shapes

• Mathematically, an area is defined as the measure of a two-dimensional region. The most common way to calculate the area of a shape is to use a formula that takes into account the shape’s length and width. In some cases, such as with a circle, the area can be found using a simpler formula that doesn’t require the shape’s dimensions.
• No matter what shape is being considered, the area will always be measured in square units. This is because the area is the product of two lengths, which are always measured in square units. Whether the shape is a square, rectangle, triangle, or any other shape, the area will always be the same.
• There are many different formulas that can be used to calculate the area of a shape. The most common one is the one that uses the shape’s length and width. For a square or rectangle, this formula is simply A = lw, where A is the area, l is the length, and w is the width.
• For a triangle, the formula is A = bh/2, where A is the area, b is the base, and h is the height. For a circle, the formula is A = πr2, where A is the area, r is the radius, and π is pi.
• There are many other formulas that can be used to calculate the area of different shapes, but these are the most common ones. No matter which formula is used, the area will always be measured in square units.

What is an Area?

An area is a measure of the extent of a two-dimensional surface. It is typically measured in square units, such as square meters or square feet.

2D Shapes

There are many different types of 2D shapes. Some of the most common are squares, rectangles, circles, and triangles.

• A square is a 2D shape with four equal sides and four right angles. It is a type of rectangle.
• A rectangle is a 2D shape with four equal sides and two right angles. It is a type of square.
• A circle is a 2D shape with no corners or edges. It is a type of triangle.
• A triangle is a 2D shape with three corners or edges.

3D Shapes

There are three types of 3D shapes:

• Sphere
• Cylinder
• Pyramid

3D Shapes Formula – Volume And Surface Area

• Volume of a 3-dimensional shape is the product of the length, width, and height.
• Surface area of a 3-dimensional shape is the sum of the areas of all of the faces.
• A right rectangular prism has six rectangular faces. The length of each face is 8 inches, the width is 4 inches, and the height is 3 inches. Find the total volume and surface area.
• The total volume is 432 cubic inches. The total surface area is 128 square inches.