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A circle in the standard (x, y) coordinate plane has center (12, -5) and radius 4 coordinate units. Which of the following is an equation of the circle?
  • a)
    (x − 12)2 + (y − 5)2 = 4
  • b)
    (x − 12)2 − (y + 5)2 = 4
  • c)
    (x − 12)2 − (y − 5)2 = 8
  • d)
    (x − 12)2 + (y − 5)2 = 16
  • e)
    (x − 12)2 + (y + 5)2 = 16
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
A circle in the standard (x, y) coordinate plane has center (12, -5) a...
To write the equation of a circle, we use the formula (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

In this case, the center of the circle is (12, -5) and the radius is 4.

Therefore, the equation of the circle is (x-12)^2 + (y-(-5))^2 = 4^2.

Simplifying, we get (x-12)^2 + (y+5)^2 = 16.

Therefore, the correct equation of the circle is (C) (x-12)^2 + (y+5)^2 = 16.
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Community Answer
A circle in the standard (x, y) coordinate plane has center (12, -5) a...
The equation of a circle is (x - h)2 + (y - k)2 = r2, where h and k are the x and y-coordinates of the center of the circle and r is the radius. Therefore, the equation of the circle centered at point (12, -5) with a radius of 4 is (x - 12)2 + (y + 5)2 = 16.
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A circle in the standard (x, y) coordinate plane has center (12, -5) and radius 4 coordinate units. Which of the following is an equation of the circle?a)(x − 12)2 + (y − 5)2 = 4b)(x − 12)2 − (y + 5)2 = 4c)(x − 12)2 − (y − 5)2 = 8d)(x − 12)2 + (y − 5)2 = 16e)(x − 12)2 + (y + 5)2 = 16Correct answer is option 'E'. Can you explain this answer?
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A circle in the standard (x, y) coordinate plane has center (12, -5) and radius 4 coordinate units. Which of the following is an equation of the circle?a)(x − 12)2 + (y − 5)2 = 4b)(x − 12)2 − (y + 5)2 = 4c)(x − 12)2 − (y − 5)2 = 8d)(x − 12)2 + (y − 5)2 = 16e)(x − 12)2 + (y + 5)2 = 16Correct answer is option 'E'. 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 circle in the standard (x, y) coordinate plane has center (12, -5) and radius 4 coordinate units. Which of the following is an equation of the circle?a)(x − 12)2 + (y − 5)2 = 4b)(x − 12)2 − (y + 5)2 = 4c)(x − 12)2 − (y − 5)2 = 8d)(x − 12)2 + (y − 5)2 = 16e)(x − 12)2 + (y + 5)2 = 16Correct answer is option 'E'. 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 circle in the standard (x, y) coordinate plane has center (12, -5) and radius 4 coordinate units. Which of the following is an equation of the circle?a)(x − 12)2 + (y − 5)2 = 4b)(x − 12)2 − (y + 5)2 = 4c)(x − 12)2 − (y − 5)2 = 8d)(x − 12)2 + (y − 5)2 = 16e)(x − 12)2 + (y + 5)2 = 16Correct answer is option 'E'. Can you explain this answer?.
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