Final answer:
The perimeter of a circular field with a radius of 63 meters is approximately 395.84 meters, calculated using the formula C = 2πr, which is derived from the properties of a circle.
Step-by-step explanation:
The question asks us to find the perimeter of a circular field with a radius of 63 meters. In mathematics, the perimeter of a circle is known as its circumference, and the formula to calculate the circumference C of a circle is C = 2πr, where r is the radius of the circle, and π (pi) is approximately 3.14159. Therefore, to find the perimeter of the field, we multiply the radius by 2, and then multiply the result by pi.
- First, we double the radius: 63 m × 2 = 126 m.
- Next, we multiply this result by pi: 126 m × 3.14159 (pi) ≈ 395.83854 m.
So, the perimeter (circumference) of the circular field is approximately 395.84 meters, taking into consideration that our answer should be reported with the same number of significant figures as the given radius which has two significant figures, so we round the answer to four digits.