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A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.

User Ibramazin
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Multistep problem alert! Step 1: the area of the circle with radius 2cm is pi x r^2. So, 3.14159x2^2 = 3.14159x4 = 12.5663 sq cm; Step 2: the area of the rectangle is lw (length times width), or 11x7=77 sq cm; Step 3: find the difference of 77 and 12.5663 by subtracting. (64.4337sq cm is the area of the rectangle not covered by the circle); Step 4: round 64.4337 to the nearest hundredth=64.43 sq cm. So, the area of the shaded region, which I assume is the rectangle area not covered by the circle is 64.43 sq cm. Peace!
User Luqui
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