Question

A pipe needs to run from a water main, tangent to a circular fish pond. On a coordinate plane, construct the circular fish pond at a given location and specify your center point and radius. Write your circular fish pond equation. On your coordinate plane, identify the point to represent the location of the water main connection. Construct the pipe so that it is tangent to the fish pond from the water main. Include all steps to creating a tangent line, as discussed in this lesson. Submit your final graph. You may do this by hand, using a compass and straightedge, or using a graphing software program.
Discuss the steps that you used to create your tangent line in #1. What was the most important step? Your discussion should be a minimum of three sentences.
Give an example of tangents in the real world that have not been presented in this lesson. Explain how you know the tangent and the radius in your example are perpendiculars.

Answer 1

The circular fish pond equation from the information given will be $x^{2}$ +(y -3)² = 9

How to explain the circle?

At this location, it is easy to draw a radius along the y-axis to a point of tangency at the origin. That radius is a vertical line, so the tangent line will be perpendicular to a horizontal line.

We choose a fish pond of radius 3 centered at (x, y) = (0, 3). The equation of the circle will be:

(x -0)² +(y -3)² = 3²

x² +(y -3)² = 9

On a coordinate plane, construct the circular fish pond at a given location and specify your center point and radius. Write your circular fish pond equation.

On the coordinate plane, identify the point to represent the location of the water main connection. Construct the pipe so that it is tangent to the fish pond from the water main. Include all steps to creating tangent line.

The examples of tangents in the real world are:

• When a cycle moves along a road, then the road becomes the tangent at each point when the wheels roll on it.

• When a stone is tied at one end of a string and then rotated from the other end, the stone will follow a circular path.

Learn more about circles on:

brainly.com/question/24375372

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