SOLUTION: From the main entrance of a park, there are two pathways where visitors can walk along going to the circular garden. The pathways are both tangent to the garden whose center is 40m

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Question 1179564: From the main entrance of a park, there are two pathways where visitors can walk along going to the circular garden. The pathways are both tangent to the garden whose center is 40m away from the main entrance. If the area of the garden is about 706.5m², how long is each pathway?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Use %28pi%29%28r%5E2%29=706.5 to determine the radius of the garden.

The two pathways, the two radii to the points of tangency, and the straight line from the entrance to the middle of the garden from two congruent right triangles; knowing the radius of the circle and the distance from the entrance to the center of the garden, you can use the Pythagorean Theorem to find the length of the pathways.