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The figure below shows 2 tangent circles such that the 9-inch diameter of the smaller circle is equal to the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?
  • a)
    28.27
  • b)
    56.55
  • c)
    63.62
  • d)
    190.74
  • e)
    254.47
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The figure below shows 2 tangent circles such that the 9-inch di...
To solve this problem, calculate the areas of the circles and subtract the area of the smaller circle from the area of the larger circle. Since the 9-inch diameter of the smaller circle is equal to the radius of the larger circle, the area of the larger circle is π(9)2 = 81π. Since the diameter of the smaller circle is 9 inches, its radius is 9/2 = 4.5 The area of the smaller circle is then π(4.5)2 = 20.25π. The area of the shaded region is therefore (81 - 20.25)π, or 60.75π, which is approximately equal to 190.76. Remember that n is approximately equal to 3.14.
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The figure below shows 2 tangent circles such that the 9-inch diameter of the smaller circle is equal to the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?a)28.27b)56.55c)63.62d)190.74e)254.47Correct answer is option 'D'. Can you explain this answer?
Question Description
The figure below shows 2 tangent circles such that the 9-inch diameter of the smaller circle is equal to the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?a)28.27b)56.55c)63.62d)190.74e)254.47Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The figure below shows 2 tangent circles such that the 9-inch diameter of the smaller circle is equal to the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?a)28.27b)56.55c)63.62d)190.74e)254.47Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The figure below shows 2 tangent circles such that the 9-inch diameter of the smaller circle is equal to the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?a)28.27b)56.55c)63.62d)190.74e)254.47Correct answer is option 'D'. Can you explain this answer?.
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