Answer :
Answer:
The center is [tex]\frac{1}{25}[/tex] of the whole target.
Step-by-step explanation:
Given:
Diameter of the center = 5 inches
Diameter of the whole target = 25 inches
We need to find the part of the center to the whole target.
Solution,
Firstly we will find out the areas of center and whole target.
For center;
Diameter = 5 in
Radius of circle is equal to half of the diameter.
radius = [tex]\frac{diameter}{2}=\frac{5}{2}=2.5\ in[/tex]
Now we know that the area of circle is equal to π times square of the radius.
framing in equation form, we get;
Area = [tex]\pi \times{2.5}^2[/tex]
For whole target;
Diameter = 25 in
Radius of circle is equal to half of the diameter.
radius = [tex]\frac{diameter}{2}=\frac{25}{2}=12.5\ in[/tex]
Now we know that the area of circle is equal to π times square of the radius.
framing in equation form, we get;
Area = [tex]\pi \times12.5^2[/tex]
Now to find the part of the center to the whole target we will divide Area of center with Area of the target.
framing in equation form we get;
the part of the center to the whole target = [tex]\frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}[/tex]
Hence the center is [tex]\frac{1}{25}[/tex] of the whole target.