8/10/2021

## Parts Of A Rectangle

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The given rectangle has a length that is units longer than its width. This can be expressed in the following equation, where is the length and is the width of the rectangle. Since the area of the rectangle is equal to its length multiplied by its width , and the area of the rectangle is given, the following equation must be true. Rectangle: 1 n a parallelogram with four right angles Types: foursquare, square (geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon box a rectangular drawing quadrate a square-shaped object Type of: parallelogram a quadrilateral whose opposite sides are both parallel and equal in length. Equal parts of a Rectangle Worksheets, examples, and solutions to help Grade 2 students learn how to recognize that equal parts of an identical rectangle can have different shapes. Common Core Standards: 2.G.3, 2.G.1. This tutorial shows how to find the area of a shaded part of a rectangle when there are two circles inside the rectangle.

## The maximum number of circles possible within a rectangle - ex. numbers of pipes or wires in a conduit

The calculator below estimates the maximum number of circles that may fit within a rectangle. The calculator can be used to calculate

• the number of pipes - or wires - that fits within a conduit or similar applications

Input the rectangle inside dimensions - height and width and the circles outside diameters.

Default values are for 0.5 inch circles inside a 10 inch x 10 inch square. The calculator is generic and any kind of units can be used - as long as the same units are used for all values.

### Rectangular Pattern

#### Rectangular Pattern - Circle Coordinates

Copy and paste the circle center coordinates to your application. x = 0 and y = 0 is top left corner of rectangle.

x y  Tip! - the values can be adapted and modified in excel or in a text editor for use in a CNC G-code generator or similar.

### Triangular Pattern

#### Triangular Pattern - Circle Coordinates

Copy and paste the circle center coordinates to your application. x = 0 and y = 0 is top left corner of rectangle.

x y

Be aware! - The algorithm is quite simple - switching rectangle width and height may influence the number calculated. Switching the input values above changes the layout and gives

Note! - with some combinations of rectangular shapes and circle sizes - one or two more circles - or even more - may be added with a modified layout of the circles. In the default triangular example above - two more circles can be added in between if the left and right bottom circles are moved to the left and right border. The algorithm used for the calculation is quite simple and may underestimate the number of circles in some cases.

## Related Topics

• Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more
• Electrical - Electrical units, amps and electrical wiring, wire gauge and AWG, electrical formulas and motors

## Related Documents

• Area of Intersecting Circles - Calculate area of intersecting circles
• Area Survey App - Online calculator app to make an exact plot of a surveyed area - like a room, a property or any 2D shape
• Area Units Converter - Convert between area units
• Circles - Circumferences and Areas - Area and circumferences of circles with diameters in inches
• Circles and Squares - Equal Areas - Radius and side lengths of equal areas, circles and squares
• Circles on the Outside of a Circle - The numbers of circles on the outside of an inner circle or the geometry of rollers on a shaft
• Discrete Data Sets - Mean, Median and Mode Values - Calculate arithmetic mean, median and modal values from discrete data sets
• Elementary Curves - Ellipse, circle, hyperbola, parabola, parallel and intersecting and coincident lines
• Elementary Surfaces - Ellipsoid, sphere, hyperboloid, cone and more
• Smaller Circles within a Larger Circle - Estimate the number of small circles that fits into an outer larger circle - ex. how many pipes or wires fits in a larger pipe or conduit
• Smaller Rectangles within a Large Rectangle - The maximum number of smaller rectangles - or squares - within a larger rectangle (or square)
• Squaring with Diagonal Measurements - A rectangle is square if the length of both diagonals are equal
• Two Equations with Two Unknowns - Online calculator for two equations with two unknowns

## Tag Search

• en: circles within rectangle rectangular triangular pattern
• es: círculos dentro de rectángulo patrón triangular rectangular
• de: Kreise innerhalb rechteckig dreieckigen Muster

The area of a rectangle is the space contained within its perimeter. The grey space is the area of the rectangle in the diagram below.

## Area formula of a rectangle

The area, A, of a rectangle is the product of its length, l, and width, w.

A = l×w

Note: Sometimes, base and height are used instead of length and width.

### Area formula using the diagonal

If the diagonal, d, and one side, s, of the rectangle are known, the following area formula can be used:

Example:

Find the area of the rectangle below that has a diagonal of 26 and length of 24.

Since the area of a rectangle is a product of its length and width, we need to find the width. The diagonal of a rectangle divides it into two congruent right triangles. Using the Pythagorean theorem:

w2 + 242 = 262
w2 + 576 = 676
w2 = 100
w = 10

The area of the rectangle is:

A = l×w = 24×10 = 240

Using the diagonal and side length formula:

 A = = = 24 × 10 = 240

## Finding area using a grid ## Give Parts Of A Rectangle

Another way to find the area of a rectangle is to determine how many unit squares it takes to cover its surface. Below is a unit square with length 1 cm. Microsoft teams forms.

## Three Parts Of A Rectangle Are Red

A grid of unit squares can be used when determining the area of a rectangle.

## Fractional Parts Of A Rectangle

The grid above contains unit squares that have an area of 1 cm2 each. The rectangle on the left contains 8-unit squares, so it has an area of 8 cm2. The rectangle to the right contains 20-unit squares, so it has an area of 20 cm2.

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