Asked by Zabeeullah Haidary on Jun 04, 2024
Verified
Identify the center and radius of the circle (x−2) 2+(y−7) 2=81( x - 2 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 81(x−2) 2+(y−7) 2=81 .
A) center: (-7,-2) radius: 9
B) center: (2,7) radius: 9
C) center: (2,7) radius: 81
D) center: (-2,-7) radius: 9
E) center: (7,2) radius: 81
Center
The middle point of a shape or object, equidistant from all outer edges.
Radius
The distance from the center to any point on the circumference of a circle.
- Cultivate competence in generating and distinguishing the orthodox versions of equations for circles.
- Nurture the expertise to ascertain core aspects of conic sections, covering the center, radius, vertices, co-vertices, and foci.
Verified Answer
ZK
Zybrea KnightJun 08, 2024
Final Answer :
B
Explanation :
The given equation is in standard form, $(x-2)^2+(y-7)^2=81$, which is the equation of a circle with center $(2,7)$ and radius $9$. Therefore, the correct choice is B.
Learning Objectives
- Cultivate competence in generating and distinguishing the orthodox versions of equations for circles.
- Nurture the expertise to ascertain core aspects of conic sections, covering the center, radius, vertices, co-vertices, and foci.
Related questions
Write the Standard Form of the Equation of the Circle \(( ...
Write the Standard Form of the Equation of the Circle \(x ...
Identify the Vertex and Focus of the Parabola \[x ^ { ...
Write the Standard Form of the Equation of the Ellipse \(( ...
Identify the Center and Radius of the Circle \(x ^ { ...