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A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as shown below. What is the area of the circle, in square centimeters?
- a)5π
- b)14π
- c)25π
- d)100π
- e)192π
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as...
The first step in solving this problem is to calculate the diameter of the circle, which corresponds to the diagonal of the rectangle. Use the Pythagorean Theorem to determine the length of the diagonal:
122 + 162 = c2
144 + 256 = c2
400 = c2
20 = c
To find the area of the circle, you need the radius, which is equal to one-half the diameter, or 10. The formula for the area of a circle is A = πr2, so the area is πr2 = 100π.
122 + 162 = c2
144 + 256 = c2
400 = c2
20 = c
To find the area of the circle, you need the radius, which is equal to one-half the diameter, or 10. The formula for the area of a circle is A = πr2, so the area is πr2 = 100π.
Most Upvoted Answer
A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as...
The first step in solving this problem is to calculate the diameter of the circle, which corresponds to the diagonal of the rectangle. Use the Pythagorean Theorem to determine the length of the diagonal:
122 + 162 = c2
144 + 256 = c2
400 = c2
20 = c
To find the area of the circle, you need the radius, which is equal to one-half the diameter, or 10. The formula for the area of a circle is A = πr2, so the area is πr2 = 100π.
122 + 162 = c2
144 + 256 = c2
400 = c2
20 = c
To find the area of the circle, you need the radius, which is equal to one-half the diameter, or 10. The formula for the area of a circle is A = πr2, so the area is πr2 = 100π.
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A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as shown below. What is the area of the circle, in square centimeters?a)5πb)14πc)25πd)100πe)192πCorrect answer is option 'D'. Can you explain this answer?
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A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as shown below. What is the area of the circle, in square centimeters?a)5πb)14πc)25πd)100πe)192πCorrect 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 A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as shown below. What is the area of the circle, in square centimeters?a)5πb)14πc)25πd)100πe)192πCorrect 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 A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as shown below. What is the area of the circle, in square centimeters?a)5πb)14πc)25πd)100πe)192πCorrect answer is option 'D'. Can you explain this answer?.
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