Question

1. the earths circumference around the equator is slightly bulged as compared to the circumference around the poles. if the circumference around earths equator is 29,902 miles, what is this in mm? (14 points)

Explanation:

Step1: Convert milles a kilómetros

Sabemos que \(1\) milla \(= 1.60934\) km.
Si la circunferencia es \(C = 29902\) millas, entonces en kilómetros es \(C_{km}=29902\times1.60934\) km.
Calculando \(29902\times1.60934 = 29902\times(1 + 0.60934)=29902+29902\times0.60934\)
\(29902\times0.60934=(30000 - 98)\times0.60934=30000\times0.60934-98\times0.60934\)
\(30000\times0.60934 = 18280.2\), \(98\times0.60934=(100 - 2)\times0.60934=60.934-1.21868 = 59.71532\)
\(29902\times0.60934=18280.2-59.71532 = 18220.48468\)
\(C_{km}=29902+18220.48468=48122.48468\) km

Step2: Convertir kilómetros a megametros

Sabemos que \(1\) Mm \(= 1000\) km. Entonces, para convertir \(C_{km}\) a Mm, usamos la fórmula \(C_{Mm}=\frac{C_{km}}{1000}\)
\(C_{Mm}=\frac{48122.48468}{1000}=48.12248468\) Mm

Answer:

\(48.12\) Mm