Modeling Discrete Data: Quiz

Problem 1

What is

  1. 9π
  2. The upper half of a circle of radius 9
  3. A circle of radius 3
  4. The area of a circle of radius 3
  5. The upper half of a circle of radius 3

Answers, problem 1

We will first start by stating the pythagorean theorem: x2 + y2 = r2

From the above, we can make y2 the subject to arrive at the general equation of a circle, where y and x are the values on the y and x axes respectively, and r is the radius of the circle.
So

therefore

So wo know we have a circle of radius 3.

We can see from the above equation that y is always poisitive. This means that the graph of y will always be above the x-axis. The answer is therefore:

  1. The upper half of a circle of radius 3

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