Cardioid in Math: Definition, Equation & Examples

Instructions:

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question 1 of 3

Which of the following would NOT resemble the shape of a cardioid?

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1. Which of the following equations is an equation of a cardioid in polar form?

2. Which of the following statements is true about the polar equation r = 8 + 8sinθ?

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About This Quiz & Worksheet

The questions we've included in this short quiz and worksheet concern the definition of cardioids in math and the equation used to calculate them. Some of the subjects covered here include the equation of a cardioid in polar form and the radius of the circles used to create a cardioid when given its polar equation.

Quiz & Worksheet Goals

Use this quiz to see if you know:

  • The shape of a cardioid
  • The equation of a cardioid in polar form
  • A true statement about the polar equation r = 8 + 8sin?
  • The radius of the circles used to create the cardioid with polar equation r = 4 - 4sin?
  • The polar equation associated with a horizontal cardioid

Skills Practiced

  • Knowledge application - use your knowledge to answer questions about the shape of a cardioid
  • Information recall - access the knowledge you've gained regarding a true statement about the polar equation r = 8 + 8sin?
  • Reading comprehension - ensure that you draw the most important information from the related lesson on cardioids in math

Additional Learning

Use this helpful lesson called Cardioid in Math: Definition, Equation & Examples to learn more about this topic. Once you complete this lesson, you should be able to do the following:

  • Explain a trick for remembering the shape of the cardioid
  • Identify the kind of coordinates used in a polar equation
  • Name the variables in a polar equation and understand what they stand for
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