Answer:
The center is at (2.5, -5.4) and the radius is 1.1
Step-by-step explanation:
The formula for a circle is
(x-h)^2 + (y-k)^2 = r^2
Where (x,k) is the center and r is the radius)
(x − 2.5)^2 + (y + 5.4)^2 = 1.21
(x − 2.5)^2 + (y - - 5.4)^2 = 1.1^2
The center is at (2.5, -5.4) and the radius is 1.1
Answer:
The center of the circle is (2.5, 5.4) and the radius of the circle is 1.1
Step-by-step explanation:
We are to find the center and radius of the circle whose equation is given as;
(x − 2.5)² + (y + 5.4)² = 1.21 ----------------------------------------------------(1)
All we need to do is to compare it with a standard equation of a circle.
A standard equation of a circle with center (a,b) and radius r is given as;
(x -a)² + (y - b)² = r² ---------------------------------------------------------(2)
where a, b is the center of the circle and r is the radius of the circle
Comparing equation (1) and (2)
C(2.5 , 5.4)
r² = 1.21
But what we are looking for is just r, so we will take the square root of both-side
√r² = √1.21
r= 1.1
Therefore the center of the circle is (2.5, 5.4) and the radius of the circle is 1.1
