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

=49left parenthesis, x, minus, 5, point, 2, right parenthesis, squared, plus, left parenthesis, y, plus, 3, point, 7, right parenthesis, squared, equals, 49

What is its center?

What is its radius?

If necessary, round your answer to two decimal places.

units

Answer 1

(5.2,-3.7)

r=7

Explanation:

the general equation of a circle centered at the point (h,k) with radius r is:

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

by comparing with the following equation:

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

we obtain:

h=5.2

k=-3.7

r=7

the center is at hte point (5.2,-3.7)

the radius is 7

hope this helps!!

Answer 2

(a)(5.2, -3.7)

(b)7

Explanation:

The equation of a circle is given:

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

For a circle having center (a,b) and a radius r, the general form of the circle is given as:

`(x - a)^2 + (y - b)^2 = r^2`

Comparing with the given equation:

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

a=5.2, b=-3.7, r =7

(a)The center (a,b) of the circle is (5.2, -3.7)

(b)The radius of the given circle is 7.