If you are looking for the formula for kite area or perimeter, you're in the right place: the kite area calculator is here to help you. Whether you know the length of the diagonals or two unequal side lengths and the angle between, you can quickly calculate the area of a kite. For the kite perimeter, all you need to do is enter two kite sides. But if you are still wondering how to find the area of a kite, keep scrolling! If it's not a kite area you are looking for, check our kiteboarding calculator, which can help you choose the proper kite size.
A kite is a quadrilateral with two pairs of equal-length sides adjacent to each other. A kite is a symmetric shape, and its diagonals are perpendicular. There are two basic kite area formulas, which you can use depending on which information you have:
Did you notice that it's a doubled formula for the triangle area, knowing side-angle-side? Yes, that's right! A kite is a symmetric quadrilateral and can be treated as two congruent triangles that are mirror images of each other.
To calculate the kite perimeter, you need to know two unequal sides. Then, the formula is obvious: perimeter = a + a + b + b = 2 × (a + b) You can't calculate the perimeter knowing only the diagonals – we know that one is a perpendicular bisector of the other diagonal, but we don't know where is the intersection.
Let's imagine we want to make a simple, traditional kite. How much paper/foil do we need? And if we're going to make an edging from a ribbon, what length is required?
Calculation of the kite perimeter is a bit tricky in that case. Let's have a look:
The kite can be convex – it's the typical shape we associate with the kite – or concave; such kites are sometimes called a dart or arrowheads. The area is calculated in the same way, but you need to remember that one diagonal is now "outside" the kite. The kite area calculator will work properly also for the concave kites.
The answer is almost always no. It's working the other way round – every rhombus is a kite. Only if all four sides of a kite have the same length, it must be a rhombus – or even a square, if all the angles are right.
The area of the rectangle is Possible Answers:
Correct answer: Explanation: The area of a kite is half the product of the diagonals. The diagonals of the kite are the height and width of the rectangle it is superimposed in, and we know that because the area of a rectangle is base times height. Therefore our equation becomes: We also know the area of the rectangle is Thus,, the area of the kite is
Given: Quadrilateral Give the length of diagonal Possible Answers:
None of the other responses is correct.
Correct answer: Explanation: The Quadrilateral . We call the point of intersection The diagonals of a quadrilateral with two pairs of adjacent congruent sides - a kite - are perpendicular; also, By the 30-60-90 Theorem, since By the 45-45-90 Theorem, since The diagonal
Using the kite shown above, find the length of the red (vertical) diagonal. Possible Answers:
Correct answer: Explanation: In order to solve this problem, first observe that the red diagonal line divides the kite into two triangles that each have side lengths of
A kite has two perpendicular interior diagonals. One diagonal is twice the length of the other diagonal. The total area of the kite is Possible Answers:
Correct answer: Explanation: To solve this problem, apply the formula for finding the area of a kite: Therefore, it is necessary to plug the provided information into the area formula. Diagonal Thus, if
A kite has two perpendicular interior diagonals. One diagonal has a measurement of Possible Answers:
Correct answer: Explanation: This problem can be solved by applying the area formula: Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal. Thus the solution is:
A kite has two perpendicular interior diagonals. One diagonal has a measurement of Possible Answers:
Correct answer: Explanation: This problem can be solved by applying the area formula: Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal. Thus the solution is:
A kite has two perpendicular interior diagonals. One diagonal has a measurement of Possible Answers:
Correct answer: Explanation: First find the length of the missing diagonal before you can find the sum of the two perpendicular diagonals. To find the missing diagonal, apply the area formula: This question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.
A kite has two perpendicular interior diagonals. One diagonal has a measurement of Possible Answers:
Correct answer: Explanation: You must find the length of the missing diagonal before you can find the sum of the two perpendicular diagonals. To find the missing diagonal, apply the area formula: This question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.
The area of the kite shown above is Possible Answers:
Correct answer: Explanation: To find the length of the black diagonal apply the area formula: Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal. Thus the solution is:
A kite has two perpendicular interior diagonals. One diagonal has a measurement of Possible Answers:
Correct answer: Explanation: This problem can be solved by applying the area formula: Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal. Thus the solution is:
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Stony Brook University, Bachelor of Science, Chemistry.
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Mount Royal University, Bachelor of Science, Cellular and Molecular Biology.
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Central Connecticut State University, Bachelor of Science, Early Childhood Education. Eastern Connecticut State University, M...
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