The radius of a circle is 10 cm. What is the approximate area of the circle? What is the exact area of the circle? Show your work.
Answers
First let's review the area formula for a circle.
Area=π[tex]r^2[/tex]
Now that we know the radius, r is 10. The area is
10*10*π=100π
I will approximate π to 3.14 although you could do it more precise or less precise. The final answer will be 100*3.14=314 squared centimeter.
Any question you have about this just ask in the comment of this answer :)
Answer:
[tex]\large\boxed{\mathtt{Exact = 100 \pi \ cm^{2}}}[/tex]
[tex]\large\boxed{\mathtt{Approximate: 314.16cm^{2}}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to identify the area of the circle with the given radius.}[/tex]
[tex]\large\underline{\textsf{What is the Radius?}}[/tex]
[tex]\textsf{The \underline{Radius} is a straight \underline{line segment} that covers the distance to the \underline{center} of the}[/tex]
[tex]\textsf{circle, to the \underline{circumference}.}[/tex]
[tex]\large\underline{\textsf{What is the Formula for Area?}}[/tex]
[tex]\textsf{The formula we use for area is;} \mathtt{ \ Area = \pi(radius)^{2}.}[/tex]
[tex]\textsf{Pi is used to help equal out the ratio of the formula. Mainly, it's helpful to find the area.}[/tex]
[tex]\textsf{Now that we have the Radius, we can begin solving.}[/tex]
[tex]\Large\underline{\textsf{Substitute:}}[/tex]
[tex]\mathtt{Area = \pi(10)^{2}}[/tex]
[tex]\mathtt{Area = 100 \pi}[/tex]
[tex]\textsf{For our answer,} \ 100 \pi \ \textsf{is the \underline{exact answer} for the area of this circle.}[/tex]
[tex]\Large\underline{\textsf{Evalulate 100 pi:}}[/tex]
[tex]\mathtt{Area = 100 \pi \approx 314.16cm^{2}}[/tex]
[tex]\textsf{314.16cm is the approximate area of this circle.}[/tex]
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