Multiple Choice: Please select the best answer and click “submit.” What is the measure of the radius of ?M? R 14.8 S 10.5 10.5 M A. 21.0 units B. 5.25 units C. 14.8 units D. 10.5 units
The Correct Answer and Explanation is:
The correct answer is C. 14.8 units.
Explanation:
The radius of a circle is the distance from its center to any point on the circumference. In this case, M is identified as the center of the circle, while points R and S are positioned on the perimeter. The given distances include RM = 14.8 units and MS = 10.5 units, along with RS = 10.5 units.
To determine the radius, it is necessary to focus on the measurement that connects the center to the circumference. RM is explicitly labeled as 14.8 units, which fits the definition of a radius. Since the radius of a circle remains constant for all points on the circumference, the length of RM provides the required value.
Other given distances, such as MS and RS, are not relevant for calculating the radius. MS represents an internal segment within the circle, but it does not stretch from the center to the boundary. RS is the length of the chord connecting points R and S, which is distinct from the radius.
The radius measurement is crucial for various geometric applications, including calculations involving area and circumference. Using the formula for circumference, C=2πrC = 2\pi r, and the formula for area, A=πr2A = \pi r^2, this value directly influences those calculations.
Given the definition of a radius and the provided information, the best answer to the question is C. 14.8 units. This choice aligns with the geometric principles that govern circles, ensuring accuracy in measurement identification.
