The circle below is centered at the point (4, 3) and has a radius of length 5. What is its equation?A.(x - 4)2 + (y + 3)2 = 52B.(x + 4)2 + (y - 3)2 = 25C.(x - 4)2 + (y - 3)2 = 52D.(x - 3)2 + (y - 3)2 = 52SUBMITarrow_backPREVIOUS
Question
The circle below is centered at the point (4, 3) and has a radius of length 5. What is its equation?A.(x - 4)2 + (y + 3)2 = 52B.(x + 4)2 + (y - 3)2 = 25C.(x - 4)2 + (y - 3)2 = 52D.(x - 3)2 + (y - 3)2 = 52SUBMITarrow_backPREVIOUS
Solution
The equation of a circle in a coordinate 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 at the point (4, 3) and the radius is 5, we can substitute these values into the equation to get:
(x - 4)² + (y - 3)² = 5²
Simplifying the right side of the equation gives:
(x - 4)² + (y - 3)² = 25
So, the correct answer is C. (x - 4)² + (y - 3)² = 25.
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 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 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
Which of the following equations correctly represents a circle centered at the origin with a radius of 5?A.(x - 5)2 + y2 = 25B.(x - 5)2 + (y - 5)2 = 5C.x2 + y2 = 5D.x2 + y2 = 25SUBMITarrow_backPREVIOUS
The equation of a circle is 4x2 + 4y 2− 24x − 32y - 96 = 0. Write the equation in standard form.Question 7Select one:a.(x - 3)2 + (y - 4)2 = 49b.(x - 3)2 + (y + 4)2 = 49c.(x + 3)2 + (y - 4)2 = 49d.(x - 3)2 + (y - 4)2 = -49
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.