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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

Respuesta :

skyluke89
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]
chrysanthemum

We are given the circumference of the circle. The formula for circumference of a circle is C = 2πr, where r is the radius of the circle. Since we want to find r, we can isolate it in the formula.

C = 2πr

Divide both sides of the equation by 2π to isolate the variable.

C / 2π = r

r = C / 2π

The circumference is given as 45 metres. Substitute this into the formula and solve.

r = 45 / 2π

r = 45 / 2(3.14)

r = 45 / 6.28

r = 7.2

Answer:

7.2 metres