The goal of this part is to make sure that everyone is at ease in calculating the circumference ofa circle from an arc segment, and from the circumference calculate the radius. You will only need a calculator 1. (Refer to the corresponding diagarn] Lefs sag,r you are an astronaut on an asteroid {this is the type of stupid question that only occurs in science classes). 'fou only have a tape measure that is 100 m long. You place the tape measure down on the planet, in an attempt to measure the circumference of the planet. A fellow astronaut, still in a space ship, says that you made a l" angle, when measured from the center of the asteroid What is the circumference of the asteroid? Arc segment distance: {from above) Angle of the arc segment: (om above) Write down the quantity you want to nd: Find the circumfer-ce: The equation that relates these things together is: Arc segment distance Angle of arc segnent Circumference 36D\" (# of degrees in a circle) Plug in the measurements for this case: Solve for the circumference: You may or may not remember om high school geometry that the circumference is twice the radius times it, or in equation form, C = ETER For the record, a is a constant that is 3.14 (TE = 3.14). First, rearrange the terms so that you are solving for R [in other words, the form of the equation is R = something). Write it below. Second, calculate the radius of the asteroid in space, using the number for circmnference above. Radius = Part 3: Redo Eratostllenes' calculation How did Eratosthenes gure out the radius of the Earth?I There were reports that in a town called Syene at: noon on June 21, the sun was directly overhead. That is, there was no shadow at noon. The sun went