Which accurately describes a circle with radius 12 centimeters and center Q?
A.the collection of all points located 6 centimeters from point Q
B.the collection of all points on the same plane located 6 centimeters from point Q
C.the collection of all points located 12 centimeters from point Q
D.the collection of all points on the same plane located 12 centimeters from point Q
It is not C
C is a sphere.
You want D, which lies in a plane
D. the collection of all points on the same plane located 12 centimeters from point Q
The correct answer is B. The collection of all points on the same plane located 6 centimeters from point Q.
To understand this, let's review some fundamentals of circles:
- A circle is a two-dimensional shape that is perfectly round.
- The center of a circle is a point that is equidistant from all the points on the circumference of the circle.
- The radius of a circle is the distance from the center of the circle to any point on its circumference.
In this case, the circle has a radius of 12 centimeters and the center is point Q. This means that every point on the circumference of the circle is exactly 12 centimeters away from the center, Q.
Option A states that the circle consists of points located 6 centimeters from point Q. However, this is incorrect because the given circle has a radius of 12 centimeters, not 6 centimeters.
Option B accurately describes the circle. It states that the circle consists of all the points on the same plane that are located 6 centimeters away from point Q. This is correct because the circle is created by taking all the points that are equidistant from point Q, and in this case, that distance is 6 centimeters.
Option C states that the circle consists of points located 12 centimeters from point Q. This is incorrect because the circle has a radius of 12 centimeters, meaning that the points on the circumference are 12 centimeters away from point Q, not all points within the circle.
Option D states that the circle consists of all the points on the same plane located 12 centimeters from point Q. This is also incorrect because once again, the circle has a radius of 12 centimeters, meaning that the points on the circumference are 12 centimeters away from point Q, not all points within the circle.
Therefore, the correct answer is B. The collection of all points on the same plane located 6 centimeters from point Q.