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Question
4.4 circumference and area of a circle
in the pacific northwest a red fox has a circular home range with a radius of about 718 meters. to the nearest whole number, about how many square meters are in a red foxs home range?
about m²
Step1: Recall area - formula for circle
The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius of the circle.
Step2: Substitute the given radius
We are given that $r = 718$ meters. Substitute $r = 718$ into the formula: $A=\pi\times(718)^{2}=\pi\times515524$.
Step3: Calculate the area
Taking $\pi\approx3.14$, we have $A\approx3.14\times515524 = 1618745.36$.
Step4: Round to the nearest whole number
Rounding $1618745.36$ to the nearest whole number gives $1618745$.
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$1618745$