GED Math Practice Test

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Which formula correctly expresses the diameter in terms of the radius?

d = 2 + r
d = 2 × r
d = 2 / r
d = r / 2

The correct answer is: d = 2 × r

The formula that correctly expresses the diameter in terms of the radius is based on the geometric relationship between these two measurements of a circle. The diameter is defined as twice the length of the radius. This means that if you know the radius (the distance from the center of the circle to any point on its boundary), you can find the diameter by simply multiplying the radius by 2. This can be expressed mathematically as: d = 2r Therefore, when you see the expression as d = 2 × r, it accurately reflects this relationship, indicating that the diameter is equal to two times the radius. Understanding this relationship is essential for solving various problems involving circles, such as calculating circumference and area, since many formulas are derived from either the radius or the diameter.