Answer:
8d : 8r = Ratio = 1 : 4
Step-by-step explanation:
Area of 8cm diameter = 4cm radius = formula pi x 4^2
= 50.2654825
= 50.27 m^2 rounded to 2dp as meters
Area of 8cm radius = formula pi x 8^2
=201.06193
= 201.06,^2 rounded to 2dp as meters
201.06193 / 50.2654825 = 4
4 x 50.265 = 201.061
= 1 : 4
8d : 8r = Ratio = 1 : 4
The ratio of the area of circle with an 8m diameter to a circle with an 8m radius is 1:4.
A term that is used to compare two or more numbers and to indicate how big or small a quantity is when compared to another is called ratio.
Area of a circle is the region covered or enclosed within its boundary.
The formula for the area of circle is give by
[tex]Area = \pi r^{2}[/tex]
Where,
r is the radius of the circle
According to the given question.
We have two circle.
One with the diameter 8m.
⇒ Radius, [tex]r_{1} = \frac{8}{2} =4m[/tex]
Therefore,
the area of circle with 4m radius
= [tex](4)^{2} \pi[/tex]
[tex]=16\pi[/tex]
Also, another circle with the radius 8m.
Therefore,
The area of the circle with the radius 8m
[tex]\pi (8)^{2} \\= 64\pi[/tex]
So,
the ratio of the area of circle with an 8m diameter to a circle with an 8m radius = [tex]\frac{16\pi }{64\pi } =\frac{1}{4}[/tex]
Hence, the ratio of the area of circle with an 8m diameter to a circle with an 8m radius is 1:4.
Find out more information about ratio, and area of circle here:
https://brainly.com/question/23388485
#SPJ2
