Question - Window Circumference Comparison
Solution:
The question is asking how much bigger the circumference of the window sold by Company A is compared to Company B's window.To determine this, we'll first calculate the circumferences of both windows.For Company A:The diameter of Company A's window is 72 in.Circumference (C) can be found using the formula C = πd, where d is the diameter.Using π ≈ 3.14159, the circumference of Company A's window is:C = πd = 3.14159 × 72 ≈ 226.19448 inchesFor Company B:The radius of Company B's window is 32 in.Circumference (C) can also be found using the formula C = 2πr, where r is the radius.C = 2πr = 2 × 3.14159 × 32 ≈ 201.06176 inchesNow, subtract the circumference of Company B's window from Company A's to find how much bigger Company A's window is:226.19448 inches - 201.06176 inches ≈ 25.13272 inchesSo the circumference of the window sold by Company A is approximately 25.13272 inches bigger than the window sold by Company B.Checking the options given, the closest answer to the calculated value is:A. 25.13 in.
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