Question

part d some forms of cardiovascular disease involve the buildup of plaque on the inside walls of blood vessels. the buildup can put added stress on the heart and vessels, reducing or preventing blood flow to vital organs of the body. imagine that the diagram is a circular cross section of a blood vessel. what is the area of the inside of the blood vessel (i.e., the yellow part) in square units? round your answer to the nearest tenth. the equation for the area of a circle is ( a = pi r^2 ), where ( a ) is area, ( pi = 3.14 ), and ( r ) is the radius. recall that the radius is half of the diameter. (diagram: circular cross - section with diameter 7)

Explanation:

Step1: Find the radius of the yellow circle

The diameter of the yellow circle is 7, so the radius \( r=\frac{7}{2} = 3.5\).

Step2: Calculate the area of the yellow circle

Using the formula \( A=\pi r^{2} \), with \( \pi = 3.14 \) and \( r = 3.5 \).
\[

$$\begin{align*} A&=3.14\times(3.5)^{2}\\ &=3.14\times12.25\\ & = 38.465 \end{align*}$$

\]

Step3: Round to the nearest tenth

Rounding 38.465 to the nearest tenth gives 38.5.

Answer:

38.5