Chris used 45 meters of fencing to enclose a circular garden. What is the approximate radius of the garden,rounded to the nearest tenth of a meter? Use 3.14 for π
Question
Answer:
The length of the fencing corresponds to the length of the perimeter of the garden:[tex]p=45 m[/tex]
We also know that the perimeter of a circle is given by:
[tex]p=2 \pi r[/tex]
where r is the radius of the circle.
Putting together the two equations, we have
[tex]2 \pi r = 45[/tex]
from which we can find r, the radius of the garden:
[tex]r= \frac{45}{2 \pi}= \frac{45}{2 \cdot 3.14}=7.17 m [/tex]
solved
general
11 months ago
8312