Knowee
Questions
Features
Study Tools

If there is a circle with its center at (1,2) and a radius of 4. Find the equation of this c

Question

Question

If there is a circle with its center at (1, 2) and a radius of 4, find the equation of this circle.

🧐 Not the exact question you are looking for?Go ask a question

Solution

The equation of a circle in a coordinate plane is given by the formula:

(x - h)² + (y - k)² = r²

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

Given that the center of the circle is at (1,2) and the radius is 4, we can substitute these values into the formula to get the equation of the circle:

(x - 1)² + (y - 2)² = 4²

Simplifying the right side of the equation gives:

(x - 1)² + (y - 2)² = 16

So, the equation of the circle with its center at (1,2) and a radius of 4 is (x - 1)² + (y - 2)² = 16.

This problem has been solved

Similar Questions

What is the equation of a circle with center (-2, 3) and radius 4?A.B.C.D.SUBMITarrow_backPREVIOUS

This circle is centered at the origin, and the length of its radius is 2. What is the circle's equation?

In the adjacent figure, if two circles are equal and the third was of radius 4 units, find the radius of equal circles.

The equation of a circle is 4x2 + 4y 2− 24x − 32y - 96 = 0.  Write the equation in standard form.

Write the equation of a circle whose diameter has endpoints (2, 7) and (4, -3).Question 9

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.