The diameter of the Earth is approximately 7,920 miles. Given that the circumference of a circle is pi times its diameter, which statement best describes the length of a trip from Washington to Masdagascar that is approximately 8,600 miles long?
a.One fourth of the circumference of the Earth
b.Three tenths of the circumference of the Earth
c. One third of the circumference of the Earth
d.One half of the circumference of the Earth
I'm surprised that this is college level.
First, given the diameter, find the circumference of the Earth. Then compare the circumference of Earth to your 8,600-mile trip.
Why are you so surprise about this is college level but I'm still lost. Are you saying to find what's pi and then divide and then I'll get the circumference.
Thank u 4 ur help
thanks for the help
Alright, we are given the diameter = 7,920 miles. Let's use d to represent it. Let C denote the circumference of a circle. Then we know (or should since it's given) that
C=pi*d
Let's use 3.14 for pi. Then C =3.14*7,920 =(approx.) 24,881 miles
Now if we take the distance from Washington to Madagascar over this we have
8,600 miles/24,881 miles =(approx.) .35
Now which of your proposed answers is nearest to this decimal?
thanks for the help
You're welcome! Now that we have calculated the circumference of the Earth to be approximately 24,881 miles and we have the distance from Washington to Madagascar as approximately 8,600 miles, we can compare the two values.
If we divide the distance from Washington to Madagascar (8,600 miles) by the circumference of the Earth (24,881 miles), we get approximately 0.35.
Now let's compare this with the answer options provided:
a) One fourth of the circumference of the Earth: This is not the correct answer as 0.35 is greater than 0.25 (one fourth).
b) Three tenths of the circumference of the Earth: This is the closest answer to our calculated value of 0.35.
c) One third of the circumference of the Earth: This is not the correct answer as 0.35 is less than 0.33 (one third).
d) One half of the circumference of the Earth: This is not the correct answer as 0.35 is less than 0.5 (one half).
Therefore, the answer that best describes the length of the trip from Washington to Madagascar is option b) Three tenths of the circumference of the Earth.