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annulus question 3

annulus problem 3:


A garten has a diameter of 8 m.
Around the garden is a way of 40 cm.
Calculate the total walking area!

 

area:


calculate the small and large radius

radius small (r): 

8 m : 2 = 4 m

 

radius large (R):

small radius + way      40 cm = 0,4 m

4 m + 0.4 m = 4.4 m

 

answer area

area = π * (R² – r²) 

area = π * (4,4² – 4²) 

area = 10.56 m²

A: The area of the circle sector is 10.56 square meters.