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annulus question 2

annulus problem 2:


An annulus has a larger circle radius R of 14 cm and a smaller circle radius r of 8 cm. 
a) calculate the area of the circle sector
b) calculate the the perimeter/circumference of the circle sector

 

area:


convert diameter to radius

oudside radius (R): 84 mm : 2 = 42 mm

inside radius (r):  68 mm : 2 = 34 mm

 

answer area

area = π * (R² – r²) 

area = π * (42² – 34²) 

area = 1 910.09 mm²

A: The area of the circle sector is 1 910.09 square millimeter.