Which of the following correctly relates the measures of the diameter (d) and radius (r) of a circle?
d= r/2
r= 2d
r= d/2
d= 2/r
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The question is asking which of the following equations correctly relates the measures of the diameter (d) and radius (r) of a circle.
no, the answer.
The correct answer is "r = d/2".
The correct relationship between the measures of the diameter (d) and radius (r) of a circle is:
d = 2r
To understand why this is the correct relationship, let's first define what the diameter and radius are:
- Diameter (d): The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circle's circumference. It is the longest chord of the circle. The diameter is essentially twice the length of the radius.
- Radius (r): The radius of a circle is a line segment that connects the center of the circle to any point on the circle's circumference. It is half the length of the diameter. The radius measures the distance from the center of the circle to any point on its circumference.
Now, if the radius (r) is half the length of the diameter (d), it follows that the diameter is twice the length of the radius. In other words, d is equal to 2r.
So, the correct relationship is:
d = 2r