Suppose that circles R and S have a central angle measuring 125°. Additionally, circle R has a radius of 2 3 feet and the radius
of circle S is 3 4 feet. If the length of the intercepted arc for circle R is 4 9 π feet, what is the length of the intercepted arc for circle S? A)
2π feet
Let rR--------> radius of the circle R rS-------> radius of the circle S LR------> the length of the intercepted arc for circle R LS------> the length of the intercepted arc for circle S
we have that rR=2/3 ft rS=3/4 ft rR/rS=8/9--------> rS/rR=9/8 LR=(4/9)π ft
we know thatif Both circle R and circle S have a central angle , the ratio of the radius of circle R to the radius of circle S is equals to the ratio of the length of circle R to the length of circle S
rR/rS=LR/LS--------> LS=LR*rS/rR-----> [(4/9)π*9/8]----> (1/2)π ft
the answer is the length of the intercepted arc for circle S is (1/2)π ft
The streets of millston are laid out like a grid, with each square block being the same size. the distance from the movie theater to the restaurant is 1/2 mile along cabot street .If there are exactly 4 blocks between the two locations, how long is each block.
