Answer:
Option A. The ratio of the area to the circumference is equal to half the radius
Step-by-step explanation:
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
The ratio of the area to the circumference is equal to
[tex]\frac{A}{C}=\frac{\pi r^{2}}{2\pi r}[/tex]
Simplify
[tex]\frac{A}{C}=\frac{r}{2}[/tex]
Verify
In this problem
[tex]A=153.86\ units^{2}[/tex]
[tex]C=43.96\ units[/tex]
[tex]\frac{A}{C}=\frac{153.86}{43.96}=3.5\ units[/tex]
and [tex]3.5\ units[/tex] is equal to half the radius
therefore
The ratio of the area to the circumference is equal to half the radius
Answer:
A: The ratio of area of circle to the circumference is equal to half the radius.
Step-by-step explanation:
We are given that area of a circle=153.86 square units
Circumference of circle=43.96 units
Radius of circle=7 units
We have to find that the relation ship between area of circle and circumference of circle
Area of circle=[tex]\pi r^2[/tex]
Circumference of circle=[tex]2\pi r[/tex]
Ratio of area of circle to the circumference=[tex]\frac{\pi r^2}{2\pi r}[/tex]
Ratio of area of the circle to the circumference of the circumference=[tex]\frac{1}{2} r[/tex]
Ratio of area to the circumference=[tex]\frac{153.86}{43.96}=\frac{7}{2}=\frac{r}{2}[/tex]
Hence, option A is true.
Answer:A: The ratio of area of circle to the circumference is equal to half the radius.
