What is the diameter of a circle with a radius of 7 inches
The Correct Answer and Explanation is:
The diameter of a circle is twice the radius. So, if the radius is 7 inches, you simply multiply it by 2:Diameter=2×Radius\text{Diameter} = 2 \times \text{Radius}Diameter=2×RadiusDiameter=2×7=14 inches\text{Diameter} = 2 \times 7 = 14 \text{ inches}Diameter=2×7=14 inches
The diameter represents the longest distance across the circle, passing through its center. It is an essential measurement because it helps define the size of the circle. By knowing the radius, you can easily calculate the diameter since they are directly related.
In a circle, the radius is the distance from the center to any point on the edge of the circle. The diameter, being twice the radius, stretches from one side of the circle, through the center, to the opposite side. This makes the diameter the straight-line distance that cuts the circle into two equal halves.
For practical uses, knowing the diameter is often more useful than the radius in certain scenarios, especially in geometric problems or when working with circular objects. For example, when cutting a circular hole in a material or determining the size of a wheel, the diameter is the key measurement.
This relationship between radius and diameter holds true for all circles, regardless of their size. So, for any circle, you can find the diameter by simply multiplying the radius by 2. It’s also important to note that if you know the diameter, you can find the radius by dividing the diameter by 2.
