Which of the following correctly relates the measures of the diameter (d) and radius (r) of a circle?
A. d= r/2
B. r= 2d
C. r= d/2
D. d= 2/r
C. r= d/2
I wish I could answer but when I turned it in it said “responses saved.”
MATH IS ANNOYING
The correct answer is option B.
The relationship between the diameter (d) and the radius (r) of a circle is defined as follows:
r = d/2
This means that the radius of a circle is equal to half of its diameter. Therefore, option B, r = 2d, is the correct answer.
To determine which of the options correctly relates the measures of the diameter (d) and radius (r) of a circle, let's consider the definitions of these terms.
The diameter of a circle is a straight line segment that passes through the center of the circle and connects two points on the circle, dividing it into equal halves.
The radius of a circle is a straight line segment that connects the center of the circle to any point on the circumference.
Now, let's examine each of the options:
A. d = r/2
This option suggests that the diameter is equal to half of the radius. However, that is incorrect. The diameter is actually twice the length of the radius, so this option is not correct.
B. r = 2d
This option states that the radius is equal to twice the diameter. This is incorrect because the radius is half the length of the diameter. Therefore, this option is not correct.
C. r = d/2
This option correctly expresses the relationship between the radius and diameter. It states that the radius is equal to half the length of the diameter. Since this is the correct relationship, this option is the correct answer.
D. d = 2/r
This option is incorrect. It suggests that the diameter is equal to two divided by the radius. This is not an accurate relationship between the diameter and the radius.
So, the correct answer is:
C. r = d/2