March 14 is Pi Day. Pi represents the ratio of the circumference of a circle to its diameter. For the following problems, use 3.14 as an approximation for π.
Charlize has a fence around her 15‐foot by 20‐foot garden. If she decides to reconfigure her garden into a circle and she only wants to use the fence she already has to enclose it, what is the area of the largest possible circular garden Charlize could create? Express your answer as a decimal to the nearest hundredth.
The figure below is made up of four congruent circles. Each circle is tangent to two of the three other circles, as shown. If the radius of each of the circles is 6 units, what is the area of the shaded region in the figure below? Express your answer as a decimal to the nearest hundredth.
The area of the entire figure shown below is 7/4 of the area of one of the circles in the figure. If the radius of each of the circles is 4 cm, what is the area of overlap? Express your answer as a decimal to the nearest hundredth.
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