Final Answer:
A circle is a two-dimensional figure composed of points equidistant from a central point. The distance from the center of the circle to any point along the circumference is known as the radius. In the given question, a circular area with a radius of 6.70 cm lies in the xy-plane. Therefore, the shape of the figure is a circle, as the radius of the figure is given, thus the correct option is C.
Explanation:
A circle is a two-dimensional figure composed of points equidistant from a central point. The distance from the center of the circle to any point along the circumference is known as the radius. In the given question, a circular area with a radius of 6.70 cm lies in the xy-plane. Therefore, the shape of the figure is a circle, as the radius of the figure is given.
A cone is a three-dimensional figure with a circular base and a single vertex. The two-dimensional figure of a cone is composed of a circle and a line connecting the center of the circle to the vertex. A cylinder is a three-dimensional figure with two bases of equal size and a curved surface connecting the two bases. A sphere is a three-dimensional figure consisting of all the points equidistant from a central point. The two-dimensional figure of a sphere is composed of a circle with a line connecting any two points on the circumference.
In conclusion, the figure described in the given question is a circle as it lies in the xy-plane and has a radius of 6.70 cm. This answer is option C.