This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If = 2.5 cm, what is the smallest diameter of wrapper that will fit the candy bar? 3 cm 4 cm 5 cm 6 cm

C. 5 cm

Step-by-step explanation:

One property of circles is that if an inscribed triangle has one side on the diameter and the third vertex on the circle but not on the endpoints of the diameter, then this forms a right triangle.

The smallest diameter of wrapper (basically the smallest circumscribed circle because the cross-section of a cylinder is a circle) will be of the circle whose diameter has endpoints of A and C.

In that case, AC will be the diameter and AD = CD will be the radius. We already know that AD = 2.5, so the radius is also 2.5 cm. The diameter is just twice the radius, so multiply 2.5 by 2:

2.5 * 2 = 5

The answer is thus 5 cm, or choice C.

Step-by-step explanation:

Step 1:  Find the smallest diameter

Since AD is 2.5 and DC is 2.5, those are radius.

So... AD + DC = AC which is the diameter.

2.5 + 2.5 = 5 which is the smallest diameter

Option C, 5 cm