The circumferences of two circles are 528 meters and 704 meters.
The circumferences of two circles are 528 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles?
Answer/Solution
17248 sq m
Steps/Work
Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 528 and 2∏l = 704
s = 528/2∏ and l = 704/2∏
Difference between the areas = ∏l^2 - ∏s^2
= ∏{264^2/∏^2 - 352^2/∏^2}
= 264^2/∏ - 352^2/∏
= (264 - 352)(264 + 352)/∏
= (88)(616)/(22/7)
=17248 sq m
Answer:E
2∏s = 528 and 2∏l = 704
s = 528/2∏ and l = 704/2∏
Difference between the areas = ∏l^2 - ∏s^2
= ∏{264^2/∏^2 - 352^2/∏^2}
= 264^2/∏ - 352^2/∏
= (264 - 352)(264 + 352)/∏
= (88)(616)/(22/7)
=17248 sq m
Answer:E