Question

The equation of a circle is given below. (x-5.2)^{2}+(y+3.7)^{2} = 49(x−5.2) 2 +(y+3.7) 2 =49(, x, minus, 5, point, 2, ), squared, plus, (, y, plus, 3, point, 7, ), squared, equals, 49 What is its center? (((,,comma )))What is its radius? If necessary, round your answer to two decimal places. units

Answer 1

Center = (5.2, -3.7)

Radius = 7

Explanation:

The equation of a circle is:

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

Where

r is the radius

(h,k) is the center

The equation given is:

`(x-5.2)^2+(y+3.7)^2=49`

We can re-arrange it to look same as the general form:

`(x-5.2)^2+(y+3.7)^2=49\\(x-5.2)^2+(y-(-3.7))^2=49\\(x-(5.2))^2+(y-(-3.7))^2=7^2`

Matching equations, we can say:

Center = (5.2, -3.7)

Radius = 7