Asked by Milica Pani? on May 16, 2024
Verified
Identify the center and radius of the circle x2+y2=25x ^ { 2 } + y ^ { 2 } = 25x2+y2=25 .
A) center: (1,1) radius: 25
B) center: (5,5) radius: 5
C) center: (0,0) radius: 5
D) center: (5,5) radius: 1
E) center: (0,0) radius: 25
Center
A key point that is often the midpoint or origin in geometric figures, such as circles or ellipses, around which symmetry or rotation occurs.
Radius
In geometry, the distance from the center of a circle to any point on its circumference, also half the diameter of the circle.
- Obtain expertise in creating and identifying the established conventions of circle equation formulations.
- Augment the proficiency to unveil essential details of conic sections, featuring the center, radius, vertices, co-vertices, and foci.
Verified Answer
RC
Rachael CollinsMay 20, 2024
Final Answer :
C
Explanation :
The equation of the circle is in standard form, where the center is at (0,0) and the radius is the square root of 25, which is 5. Therefore, the center and radius of the circle are (0,0) and 5, respectively.
Learning Objectives
- Obtain expertise in creating and identifying the established conventions of circle equation formulations.
- Augment the proficiency to unveil essential details of conic sections, featuring the center, radius, vertices, co-vertices, and foci.
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