Which term describes the distance from the center of a circle to any point on the circle?
A. Center
B. Radius
C. Diameter
D. Circumference
Answer (2)
Defines the terms: center, radius, diameter, and circumference.
Compares the definitions to the question.
Identifies the radius as the distance from the center of a circle to any point on the circle.
Concludes that the answer is Radius: B .
Explanation
Problem Analysis Let's analyze the question. We need to identify the term that describes the distance from the center of a circle to any point on the circle. We are given four options: Center, Radius, Diameter, and Circumference.
Defining the terms Let's define each term:
Center: The central point of a circle.
Radius: The distance from the center of a circle to any point on the circle.
Diameter: The distance across a circle through the center. It is twice the radius.
Circumference: The distance around a circle. It is calculated as 2 π r , where r is the radius.
Identifying the correct term Comparing the definitions with the question, we can see that the radius is the term that describes the distance from the center of a circle to any point on the circle.
Final Answer Therefore, the answer is Radius .
Examples
Understanding the radius is crucial in many real-world applications. For example, when designing a circular garden, the radius determines how much fencing you need. If you want a garden with a radius of 5 meters, you know the distance from the center to the edge is 5 meters. Also, the radius is used in calculating the area of the garden, which helps you determine how much soil to buy. The area A is calculated as A = π r 2 , so in this case, A = π ( 5 2 ) = 25 π square meters.
The distance from the center of a circle to any point on the circle is called the radius. Thus, the correct answer to the question is Radius: B .
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