Diagonal of a Rectangle Calculator
Diagonal of a Rectangle Calculator: Students can learn the geometric concepts from here. This Page describes the simple steps to calculate the rectangle diagonal length, formulas that helps you to find the diagonal of a rectangle and some example questions.
Ex: length = 1000 And width = 500
Here are some samples of Diagonal of a Rectangle calculations
- Diagonal of a Rectangle 52 cm by 15 cm
- Diagonal of a Rectangle 56 cm by 37 cm
- Diagonal of a Rectangle 74 cm by 76 cm
- Diagonal of a Rectangle 73 cm by 75 cm
- Diagonal of a Rectangle 60 ft by 38 ft
- Diagonal of a Rectangle 29 ft by 17 ft
- Diagonal of a Rectangle 29 ft by 77 ft
- Diagonal of a Rectangle 29 ft by 95 ft
- Diagonal of a Rectangle 98 in by 58 in
- Diagonal of a Rectangle 79 in by 74 in
- Diagonal of a Rectangle 6 cm by 8 m
- Diagonal of a Rectangle 7 yd by 3 m
- Diagonal of a Rectangle 4 yd by 4 in
- Diagonal of a Rectangle 5 yd by 2 m
- Diagonal of a Rectangle 2 yd by 7 m
- Diagonal of a Rectangle 3 cm by 6 yd
- Diagonal of a Rectangle 8 ft by 9 cm
- Diagonal of a Rectangle 9 cm by 5 ft
- Diagonal of a Rectangle 7 in by 52 ft
- Diagonal of a Rectangle 2 cm by 56 m
- Diagonal of a Rectangle 4 in by 74 yd
- Diagonal of a Rectangle 6 m by 73 yd
- Diagonal of a Rectangle 8 cm by 60 m
- Diagonal of a Rectangle 5 ft by 29 in
- Diagonal of a Rectangle 9 yd by 29 cm
- Diagonal of a Rectangle 3 in by 29 ft
- Diagonal of a Rectangle 4 in by 98 ft
- Diagonal of a Rectangle 5 m by 79 yd
- Diagonal of a Rectangle 2 cm by 15 ft
- Diagonal of a Rectangle 3 m by 37 ft
- Diagonal of a Rectangle 34 in by 51 in
- Diagonal of a Rectangle 28 in by 92 in
- Diagonal of a Rectangle 82 m by 35 m
- Diagonal of a Rectangle 69 m by 99 m
- Diagonal of a Rectangle 13 m by 12 m
- Diagonal of a Rectangle 68 m by 30 m
- Diagonal of a Rectangle 50 yd by 86 yd
- Diagonal of a Rectangle 31 yd by 53 yd
- Diagonal of a Rectangle 89 yd by 44 yd
- Diagonal of a Rectangle 95 yd by 99 yd
- Diagonal of a Rectangle 55 cm by 28 ft
- Diagonal of a Rectangle 95 in by 98 m
- Diagonal of a Rectangle 59 cm by 49 ft
- Diagonal of a Rectangle 68 yd by 15 ft
- Diagonal of a Rectangle 26 ft by 20 in
- Diagonal of a Rectangle 10 m by 95 ft
- Diagonal of a Rectangle 52 m by 49 cm
- Diagonal of a Rectangle 10 in by 71 cm
- Diagonal of a Rectangle 92 yd by 36 cm
- Diagonal of a Rectangle 58 ft by 14 m
- Diagonal of a Rectangle 88 ft by 14 yd
- Diagonal of a Rectangle 38 m by 43 yd
- Diagonal of a Rectangle 98 ft by 95 in
- Diagonal of a Rectangle 99 yd by 79 in
- Diagonal of a Rectangle 21 cm by 68 in
- Diagonal of a Rectangle 40 m by 31 cm
- Diagonal of a Rectangle 20 ft by 77 yd
- Diagonal of a Rectangle 94 m by 80 yd
- Diagonal of a Rectangle 17 cm by 48 yd
- Diagonal of a Rectangle 35 cm by 42 ft
Make use of free online calculator tool to find the diagonal of a rectangle easily and instantly. All you need to do is provide length and width of the rectangle in the given input sections and tap on the diagonal button to see the accurate result in a short span of time.
Diagonal of a Rectangle Formulas
Below given are the formulas that are useful to calculate the diagonal length of a rectangle. Utilize these formulas whenever required to solve the questions effortlessly.
1. When length, width of the rectangle is given
Diagonal length d = √(l² + w²)
2. If length/ width and area of a rectangle is given, then
Diagonal of a rectangle d = √(A² / l² + l²) or d = √(A² / w² + w²)
3. Length/ width and perimeter of rectangle are known.
Diagonal d = √(2l² - P * l + P² / 4) or d = √(2w² - P * w + P² / 4)
4. Given length/ width and angle between then
diagonal d = w / sin(α/2) or l / cos(α/2)
5. Given area and angle
Diagonal d = √(2 * A / sin(α))
6. If area and perimeter of rectangle are available
Diagonal of a rectangle d = √(P² - 2*A)
7. When perimeter and angle is given,
Diagonal d = P / (2*sin(α/2) + 2*cos(α/2))
8. When circum radius of rectangle is given,
Diagonal d = 2 * r
Where,
d is the length of diagonal of a rectangle
r is the circum radius of the rectangle
α is the angle
P is the rectangle perimeter
l is the length of rectangle
w is the width of the rectangle
A is the rectangle area
Steps to Find Diagonal Length of a Rectangle
Get the step by step process to calculate the length of diagonal of a rectangle from the following section.
- Observe the length, width of the rectangle from the question.
- Perform the square of both parameters.
- Add the sum of length and width squares.
- Apply square root to the resultant value to check the diagonal of a rectangle.
Examples on Rectangle Diagonal
Example 1: One side of a rectangle is 5 inches and another is 9 inches. How many inches long is the rectangle's diagonal?
Solution:
Given that,
Length of rectangle l = 9 inches
Width of rectangle w = 5 inches
Diagonal of a rectangle d = √(l² + w²)
By substituting the given values in the formula
d = √(9² + 5²)
= √(81 + 25) = √(106)
= 10.29
∴ The length of diagonal of a rectangle =is 10.29 inches.
Example 2: Find the rectangle diagonal length? If rectangle area is 25 cm² and width is 4 cm?
Solution:
Given that,
Area of rectangle A = 25 cm²
Width w = 4 cm
Diagonal d = √(A² / w² + w²)
= √(25² / 4² + 4²)
= √(625 / 16 + 16)
= √(39.06 + 16) = √(55.06)
= 7.42
∴ Rectangle diagonal is 7.42 cm.
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FAQs on Diagonal of a Rectangle Calculator
1. What is the formula to calculate the diagonal of a rectangle?
If we draw any one diagonal in a rectangle, it will form a right angle triangle. By using the Pythagorean theorem, diagonal² = length² + width². So, diagonal = √(length² + width²).
2. How many diagonals can be drawn in a rectangle?
It is possible to draw only two diagonals for a rectangle.
3. What is the length of diagonal of a rectangle?
A diagonal divides the rectangle into two right angle triangles with sides equal to the sides of a rectangle and diagonal is the hypotenuse.
4. Does diagonals of a rectangle measures equal length?
Yes, two diagonals of a rectangle are equal and bisect each other at the midpoint of diagonal.