Arizona State University COLLEGE OF LIBERAL ARTS AND SCIENCES
SCHOOL OF EARTH AND SPACE EXPLORATION

 

Solutions

How big is the Earth?KM #5: The Size of the Earth—Estimation in Arizona (Level 2)
Mathematical Content: Geometry (radius and circumference of a circle; volume of a sphere); interior angles.

SOLUTIONS: KM # 5
Using Arizona Locations to Estimate the Circumference of the Earth

Question 1: What is the circumference of the Earth?

First,  img 

Next, 3.3 o is img of the entire circumference

Then divide the distance from S to K by .009 to getimg as your estimate of the circumference of the Earth.


Question 2: What is the radius of the Earth?

A. Compute the radius of the Earth using your estimate of the circumference. (Round your answer to 1 decimal place)
img


img 


img

B. Convert your answer to part A to meters (1 km = 1000 meters).
            img meters

 

Question 3: What is the volume of the Earth?.       img