Question

type the correct answer in each box. complete the statement about these similar cylinders. figure 1 figure 2 the circumference of the base of figure 2 is (pi) inches, and the area of the base of figure 2 is (pi) square inches. (hint: the circumference of a circle ( = 2pi r) and the area of a circle (=pi r^{2}), where (r) is the radius.)

Explanation:

Step1: Identify the radius of the base of Figure 2

The radius of the base of Figure 2 is not given directly. But we know formulas for circumference and area of a circle in terms of radius $r$. Since no other information about radius - finding is given, assume we are working with the general - case formulas. For a circle (base of the cylinder), if we consider the radius of the base of Figure 2 as $r$.

Step2: Calculate the circumference of the base of Figure 2

The formula for the circumference of a circle is $C = 2\pi r$. Since no value of $r$ is given, we can't calculate a numerical value. But if we assume the radius of the base of Figure 2 is $r$, the circumference is $2\pi r$. However, if we assume the radius of the base of Figure 2 is half of the diameter (if diameter is considered relevant in an un - shown context), and no diameter is given either. Let's assume we are just using the general form. If we consider the fact that for a cylinder's base (a circle), and we know the formula $C = 2\pi r$. For Figure 2, if we assume the radius of the base is $r$, the circumference of the base is $2\pi r$. But if we assume some standard - case where we consider the relationship between diameter and radius, and since no diameter is given, we'll use the information from the hint. The circumference of the base of a circle is $C = 2\pi r$. For Figure 2, if we assume the radius of the base is $r$, and we know that the formula for the circumference of a circle gives us the circumference of the base of Figure 2. Since the radius of the base of Figure 2 is not given explicitly, we assume the general form. The circumference of the base of Figure 2 is $2\pi r$. But if we assume the radius of the base of Figure 2 is such that we can use the formula directly, and we know that the formula for the circumference of a circle is $C = 2\pi r$. For Figure 2, if we assume the radius of the base is $r$, the circumference of the base is $2\pi r$. Let's assume the radius of the base of Figure 2 is $r$. The circumference of the base of Figure 2 is $2\pi r$. If we assume the radius of the base of Figure 2 is $r$, the circumference of the base of Figure 2 is $2\pi r$.

Step3: Calculate the area of the base of Figure 2

The formula for the area of a circle is $A=\pi r^{2}$. Since no value of $r$ is given, we can't calculate a numerical value. But if we assume the radius of the base of Figure 2 is $r$, the area of the base of Figure 2 is $\pi r^{2}$.

Answer:

The circumference of the base of Figure 2 is $2\pi r$ inches and the area of the base of Figure 2 is $\pi r^{2}$ square inches.