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annulus question 1

annulus problem 1:


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

 

perimeter/area:


diameter large (D): 2 * 14 = 28 cm

diameter small: (d): 2 * 8 = 16 cm
 

answer perimeter

perimeter = π * (D + d)

perimeter = π * (28 + 16)

perimeter = 138.23 cm

A: The perimeter of the circle is 138.23 centimeter.

 

answer area

area = π * (R² – r²) 

area = π * (14² – 8²) 

area = 414.69 cm²

A: The area of the circle sector is 414.69 square centimeters.