Match the arc or central angle to the correct measure based on the figure below.
1 answer:
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Answer: 0.0667117 * miles
Step-by-step explanation: The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the sun is approximately 0.9863 degrees per day. If we assume the orbit of the Earth is completely circular, what is the linear speed in miles per hour?
Step-by-step explanation: First, a day has 24 hours. Knowing how far the earth travels in day we can say:
0,9863 degrees/day = 0,9863 degrees/(24 hours)
0,9863 degrees/day = 0.0411 degrees/hours
Also, we know the orbit completely circular, so the total distance on, degrees, is 360°. Also this distance can be know with the formula:
Total Circuference = 360° = 2*pi* R
Because Radius is variable for any circle. It is say that:
360° = 2*pi radians
WIth this relation, we can know how many radians are 0.0411 degrees
360/0.0411 = (2*pi)/x
x = (2*pi*0.0411)/(360)
X = 0.00071733032
X is how much the Earth travels per hour in Radians.
Multiplying per Radius:
Earth distance traveled per hour = 0.0667117 * miles