1. How many parking spots are there?
2. Write down a guess.
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Check out this mesmerizing drone shot of the The Virginia Living Museum in Newport News, Virginia by Overview content creator Micah Marshall. The open-air museum houses many “living-exhibits” with more than 245 different species of plants and animals, most of which are native to the state of Virginia.
3. What information would be useful to figure this out?
4. Write down some questions you have in your head right now.
The students need to figure out how long each arc is.
A screenshot from Act 1 will be helpful. It shows which rows have spots on both sides of the line. In addition, the kids will need to estimate how the sidewalk, trees, and other non-parking spots affect the total number of spaces.
Finally, the students need to know how wide each parking spot is.
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems
Daily Overview / Satellite imagery courtesy of Digital Globe / Benjamin Grant