The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it. Looking at the problem statement, it asks for us to determine the area of the figure. In return, we are given the radius of the circle along with the number to use for pi.
Now that we have gathered all of the important information, we can move onto the actual calculations of the problem. Let us use the area of a circle formula to be able to capture the work.
Plug in the values
- [tex]A_{circle}=radius^2*\pi[/tex]
- [tex]A_{circle}=(14\ cm)^2*\frac{22}{7}[/tex]
Now that we have the expression ready we have several steps that need to be completed in order to have our area ready. Let us start by expanding the exponent.
Expand the exponent
- [tex]A_{circle}=(14)^2*(cm)^2*\frac{22}{7}[/tex]
- [tex]A_{circle}=196*cm^2*\frac{22}{7}[/tex]
- [tex]A_{circle}=196\ cm^2*\frac{22}{7}[/tex]
Multiply
- [tex]A_{circle}=\frac{196\ cm^2\ *\ 22}{7}[/tex]
- [tex]A_{circle}=\frac{4312\ cm^2}{7}[/tex]
Simplify the expression
- [tex]A_{circle}=\frac{4312\ cm^2/7}{7/7}[/tex]
- [tex]A_{circle}=\frac{616\ cm^2}{1}[/tex]
- [tex]A_{circle}=616\ cm^2[/tex]
Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.
