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The diameter of s circle is $4$ find the area to the nearest tenth

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Solve proportions: word problems

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Q. The diameter of s circle is

4

find the area to the nearest tenth

Question Prompt: Question prompt: What is the area of a circle with a diameter of $4$ , rounded to the nearest tenth?
Identify Formula: Identify the formula for the area of a circle. $\newline$ The formula for the area of a circle is $A = \pi r^2$ , where $A$ is the area and $r$ is the radius of the circle.
Calculate Radius: Calculate the radius of the circle. $\newline$ The radius is half of the diameter. Since the diameter is $4$ , the radius $r$ is $\frac{4}{2} = 2$ .
Substitute Radius: Substitute the radius into the area formula. $\newline$ $A = \pi(2)^2$
Calculate Area: Calculate the area using the value of $\pi$ as approximately $3.14159$ . $\newline$ $A = 3.14159 \times (2)^2$ $\newline$ $A = 3.14159 \times 4$ $\newline$ $A = 12.56636$
Round Area: Round the area to the nearest tenth. $\newline$ The area of the circle, rounded to the nearest tenth, is approximately $12.6$ .

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