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Match each of the circle equations below with their center and radius.

Match each of the circle equations below with their center and radius.-example-1
Match each of the circle equations below with their center and radius.-example-1
Match each of the circle equations below with their center and radius.-example-2
User Marco Boerner
by
2.6k points

1 Answer

12 votes
12 votes

STEP - BY - STEP EXPLANATION

What to find?

The center and radius of each circle.

Given:

Step 1

State the general circle formula.


(x-h)^2+(y-k)^2=r^2

where (h, k) is the center of the circle and r is the radius of the circle.

Step 2

Compare each equation to determine its center and radius.


A.(x-4)^2+(y+3)^2=16

The center is (4, -3) and radius = 3


B.(x-4)^2+(y-3)^2=16

The center is (4, 3) and radius is 4


C.(x+4)^2+(y+3)^2=16

The center is (-4, -3) and radius = 4


D.(x+4)^2+(y-3)^2=16

The center is ( -4, 3) and radius (r)=4

ANSWER

A. Center (4, -3) and r=4

B. Center (4, 3) and r=4

C. Center (-4, -3) and r=4

D. Center (-4, 3) and r=4

Match each of the circle equations below with their center and radius.-example-1
User Lyes BEN
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2.8k points