A circle in the xy-plane has the equation (x-0.8)^(2)+(y-5.2)^(2)=1.69". " How long is the radius of the circle?

Circle Standard Form: The equation of a circle in the standard form is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. In the given equation, (x - 0.8)² + (y - 5.2)² = 1.69, we can see that it is already in standard form with h = 0.8, k = 5.2, and r² = 1.69.Find Radius: To find the radius r, we need to take the square root of r². The given value for r² is 1.69. Therefore, we calculate r as the square root of 1.69.Calculate Radius: Calculating the square root of 1.69 gives us r = √1.69. The square root of 1.69 is 1.3. So, the radius of the circle is 1.3 units.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A circle in the
xy-plane has the equation

(x-0.8)^(2)+(y-5.2)^(2)=1.69". "
How long is the radius of the circle?

A circle in the $x y$ -plane has the equation $\newline$ $(x-0.8)^{2}+(y-5.2)^{2}=1.69 \text {. }$ $\newline$ How long is the radius of the circle?

View step-by-step help

Home

Math Problems

Algebra 2

Find the radius or diameter of a circle

Full solution

Q. A circle in the

x y

-plane has the equation

\newline

(x-0.8)^{2}+(y-5.2)^{2}=1.69 \text {. }

\newline

How long is the radius of the circle?

Circle Standard Form: The equation of a circle in the standard form is $(x - h)^2 + (y - k)^2 = r^2$ , where $(h, k)$ is the center of the circle and $r$ is the radius. In the given equation, $(x - 0.8)^2 + (y - 5.2)^2 = 1.69$ , we can see that it is already in standard form with $h = 0.8$ , $k = 5.2$ , and $r^2 = 1.69$ .
Find Radius: To find the radius $r$ , we need to take the square root of $r^2$ . The given value for $r^2$ is $1.69$ . Therefore, we calculate $r$ as the square root of $1.69$ .
Calculate Radius: Calculating the square root of $1.69$ gives us $r = \sqrt{1.69}$ . $\newline$ The square root of $1.69$ is $1.3$ . $\newline$ So, the radius of the circle is $1.3$ units.