Enter all but one of the length, width, and height into the calculator to determine the area of the hip roof. This calculator can also evaluate any of the variables given the others are known.
Hip Roof Formula
The following formula is used to calculate the area of a hip roof:
A = 2 * (L * W + (L/2) * H)
Variables:
- A is the area of the hip roof
- L is the length of the roof
- W is the width of the roof
- H is the height of the roof
To calculate the area of a hip roof, multiply the sum of the length multiplied by the width and half the length multiplied by the height by 2.
What is a Hip Roof?
A hip roof, also known as a hipped roof, is a type of roof design where all sides slope downwards to the walls, usually with a fairly gentle slope. This design is characterized by its four-sided structure, with all four sides featuring a sloping edge that meets at the top to form a ridge. The sides are typically equal in length, forming a symmetrical structure, and they come together at the top to create a single, pointed peak. This type of roof is highly durable and resistant to wind and weather damage due to its aerodynamic shape. It is commonly used in both residential and commercial architecture, particularly in regions prone to high winds or hurricanes.
How to Calculate Hip Roof?
The following steps outline how to calculate the Hip Roof.
- First, determine the length of the hip rafter (LHR).
- Next, determine the pitch of the roof (P).
- Next, calculate the length of the common rafter (LCR) using the formula LCR = LHR / cos(P).
- Next, calculate the length of the hip (LH) using the formula LH = LCR * sin(P).
- Finally, calculate the area of the hip roof using the formula Area = 2 * LH * LCR.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Length of the hip rafter (LHR) = 10 ft
Pitch of the roof (P) = 30 degrees
