11. A garden path surrounds a circular garden, as shown in the figure below. The garden path is 5 feet wide all the way around and the distance around the outside of the garden path is 80 feet. [9 pts] (a) What is the radius of the circle that forms the outside of the garden path? Approximate to two decimal places using 3.14 as the value of ?. 5 ft garden (b) What is the area of the garden (inside the path)? Explain. (c) What is the area of the garden path itself? Explain.
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Given: - The circumference of the outside circle is 80 feet. - The formula for the circumference of a circle is \( C = 2\pi r \). Using the given value of \(\pi = 3.14\): \[ 80 = 2 \times 3.14 \times r \] Solving for \( r \): \[ r = \frac{80}{2 \times 3.14} = Show more…
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