Question

i'm doing this practice problem and i'm really struggling. if you be so kind to complete so it can help me comprehend. Please be sure to include a visual of the coordinate plane for questions 1 & 3. Thank you. The two visuals given are examples that within the problem but also how should everything look like on a coordinate plane so please be advised.

1)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.
2)Write your circular fish pond equation.
3)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.
4)Discuss the steps that you used to create your tangent line.
5)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 perpendicular.

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Answer 1

ex 3. Considere a irculare pond with center (0,07 +0 Thus Egn - O 0,02 M R PR awe ③. Let P be the location of water main. As per location diagrain PQ & 2 tangents (pipes). → @. Join op & draw its ter tisector to get uts its nad diameter. circle using op as 6. Draw the G. This circle interseits earlier one at & R. d. PQ & PR required tangents (pipes). nord pe Steps ave Belt - pulley drive is the best example where pulley in Neculai & belt is tangent oues it

Here in this diagram , O is the centre of circular pond whereas P is the location of main water connection. PQ & PR are the required tangential pipes.