Sessions 27 & 28 (cont.) Math: Geometry: Two-Dimensional Shapes
Where Math Gets Real
Where Math Gets Real
As the Turbine Turns In “Wind Power!” you calculated the areas of circles to find the blade sweep of various wind turbines. Use what you learned and the properties of circles to answer the questions. Use 3.14 for pi.
Where Math Gets Real
OFFSHORE WIND FARM
NUMBER OF TURBINES
SINGLE TURBINE RADIUS
SINGLE TURBINE CIRCUMFERENCE
SINGLE TURBINE BLADE SWEEP
LOCATION
Blyth Offshore
U.K.
2
33 meters
Where Math Gets Real
*with white behind logo
Middelgrunden
Denmark
20
239 meters
Princess Amalia Netherlands
60
5,027 meters 2
Riffgat
Germany
30
377 meters
1. Complete the missing entries in the chart above of offshore wind farms. Round your answers to the nearest whole number.
4. How much longer is the radius of a turbine at Riffgat than the radius of a turbine at Princess Amalia?
2. What was the total blade sweep for each wind farm, taking into account the total number of turbines?
5. Marcus says that as the length of the radius of a turbine increases, the blade sweep area increases by the length squared. Is he correct? If so, explain why.
3. Write the wind farms in order from least to greatest total blade sweep.
Wind Power! > WORKING WITH CIRCLES
80 Sessions 27 & 28
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