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Circles

SAT Math· difficulty 3/5

A circle has center (4,−2)(4, -2) and radius 5. What is its equation?

  • A

    (x+4)2+(y−2)2=25(x+4)^2 + (y-2)^2 = 25

  • B

    (x−4)2+(y−2)2=25(x-4)^2 + (y-2)^2 = 25

  • C

    (x−4)2+(y+2)2=5(x-4)^2 + (y+2)^2 = 5

  • D

    (x−4)2+(y+2)2=25(x-4)^2 + (y+2)^2 = 25

    check_circle

Explanation

Standard form is (x−h)2+(y−k)2=r2(x-h)^2 + (y-k)^2 = r^2. With h=4h=4, k=−2k=-2, r=5r=5: (x−4)2+(y+2)2=25(x-4)^2 + (y+2)^2 = 25.

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