Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7 of 10 which number in the standard equation for a circle cen…

Question

question 7 of 10

which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?

a. the \\(x\\)-coordinate
b. the center
c. the radius
d. the \\(y\\)-coordinate

Explanation:

Write the standard equation of a circle centered at the origin

$$ x^2 + y^2 = r^2 $$

Identify the parameter that determines the size of the circle

$$ \text{Size is determined by the radius } r $$

Answer:

  • A. The \(x\)-coordinate
  • B. The center
  • C. The radius (Correct answer)
  • D. The \(y\)-coordinate