What is the equation of the circle with center (3.2, -2.1) and radius 4.3?A.(x - 3.2)2 + (y + 2.1)2 = (4.3)2B.(x + 2.1)2 + (y - 3.2)2 = 8.6C.(x + 3.2)2 + (y - 2.1)2 = 4.3D.(x - 2.1)2 - (y + 3.2)2 = (4.3)2SUBMITarrow_backPREVIOUS
Question
What is the equation of the circle with center (3.2, -2.1) and radius 4.3?A.(x - 3.2)2 + (y + 2.1)2 = (4.3)2B.(x + 2.1)2 + (y - 3.2)2 = 8.6C.(x + 3.2)2 + (y - 2.1)2 = 4.3D.(x - 2.1)2 - (y + 3.2)2 = (4.3)2SUBMITarrow_backPREVIOUS
Solution
The equation of a circle in a plane is given by (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 (3.2, -2.1) and the radius is 4.3, we can substitute these values into the equation.
This gives us (x - 3.2)² + (y - (-2.1))² = (4.3)².
Simplifying further, we get (x - 3.2)² + (y + 2.1)² = 18.49.
So, the correct answer is A. (x - 3.2)² + (y + 2.1)² = (4.3)².
Similar Questions
The circle below is centered at the point (4, -3) and has a radius of length 3. What is its equation?A.(x - 3)2 + (y + 4)2 = 9B.(x - 3)2 + (y - 4)2 = 9C.(x - 4)2 + (y + 3)2 = 32D.(x + 4)2 + (y - 3)2 = 32SUBMITarrow_backPREVIOUS
What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?
Which of the following is the equation for a circle with a radius of r and center at (h, v)?A.h2 + v2 = r2B.(x - v)2 + (y - h)2 = r2C.(x + h)2 + (y + v)2 = r2D.(x - h)2 + (y - v)2 = r2SUBMITarrow_backPREVIOUS
What is the equation of a circle with center (-3, -5) and radius 4?A.(x - 3)2 + (y - 5)2 = 4B.(x - 3)2 + (y - 5)2 = 16C.(x + 3)2 + (y + 5)2 = 4D.(x + 3)2 + (y + 5)2 = 16SUBMITarrow_backPREVIOUS
What is the equation of a circle with center (-2, 3) and radius 4?A.B.C.D.SUBMITarrow_backPREVIOUS
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.