Brahmagupta's Formula: Proof & Examples


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question 1 of 3

In general, a four-sided figure is called a _____.

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1. The variable, S, appears in Brahmagupta's formula. S = (a + b + c + d)/2, where a, b, c and d are the sides of the figure. If the perimeter of this figure is 100 inches, S = _____.

2. Let's say we have a figure with a = b = c = d = 4 feet. The variable S in Brahmagupta's formula is given by S = (a + b + c + d)/2. For our figure, S = _____.

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About This Quiz & Worksheet

Quiz your knowledge of Brahmagupta's formula for solving certain area problems. Answer these questions on key concepts like the term for a four-sided figure and the use of Brahmagupta's formula to find the length of a perimeter.

Quiz & Worksheet Goals

This worksheet/quiz will also cover the following:

  • Calculation for S in a figure with a = b = c = d = 4 feet
  • Term for a pair of opposite angles
  • Figure that has all of its corners touching the circumference of a circle

Skills Practiced

  • Reading comprehension - make sure you understand the most important information about Brahmagupta's formula, such as how to use it to find the perimeter of a four-sided figure
  • Information recall - access the knowledge you've gained regarding the word for a pair of opposite angles
  • Knowledge application - use your knowledge to answer questions about the common term for a four-sided figure and the use of Brahmagupta's formula to solve for S in a sample problem

Additional Learning

Keep learning about this formula in the lesson named Brahmagupta's Formula: Proof & Examples. Here are the main areas you'll be covering:

  • Explanation of a cyclic quadrilateral
  • Law of cosines
  • Sine of the difference of two angles