The circumferences of two circles are 264 meters and 704 meters.
The circumferences of two circles are 264 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles?
Answer/Solution
33880 sq m
Steps/Work
Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 704
s = 264/2∏ and l = 704/2∏
Difference between the areas = ∏l^2 - ∏s^2
= ∏{132^2/∏^2 - 352^2/∏^2}
= 132^2/∏ - 352^2/∏
= (132 - 352)(132 + 352)/∏
= (220)(484)/(22/7)
= 33880 sq m
Answer:B
2∏s = 264 and 2∏l = 704
s = 264/2∏ and l = 704/2∏
Difference between the areas = ∏l^2 - ∏s^2
= ∏{132^2/∏^2 - 352^2/∏^2}
= 132^2/∏ - 352^2/∏
= (132 - 352)(132 + 352)/∏
= (220)(484)/(22/7)
= 33880 sq m
Answer:B