Calculating the Area of a Red Fox's Home Range

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 fox's home range?

About 1,623,207 m². The approximate area of the red fox's home range is 1,623,207 m². The area of a circle is given by the formula A = πr², where r is the radius of the circle. In this case, the radius of the red fox's home range is 718 meters. Therefore, the area of the home range is:

A = π(718 m)² = 1,623,207 m². Rounding to the nearest whole number, the approximate area of the red fox's home range is 1,623,207 m².

What is the relation between area and perimeter of a circle?

The area and perimeter (or circumference) of a circle are related by the circle's radius (r) or diameter (d).

The area of a circle is given by the formula A = πr² or A = π(d/2)², where π (pi) is a mathematical constant approximately equal to 3.14159.

The perimeter (or circumference) of a circle is given by the formula P = 2πr or P = πd, where P is the perimeter (or circumference) of the circle.

From these formulas, we can see that the area of a circle is proportional to the square of its radius, while the perimeter (or circumference) of a circle is directly proportional to its radius (or diameter).

Therefore, if the radius (or diameter) of a circle is increased by a factor of k, then its area will increase by a factor of k², while its perimeter (or circumference) will increase by a factor of k.

What is the formula for calculating the area of a circle?

The formula for calculating the area of a circle is A = πr² or A = π(d/2)², where r is the radius and d is the diameter of the circle.