Every evening, curt rides his bicycle six times around rainbow lake.the bike path around the lake is approximately in the shape of a circle with a radius of 154 yards.using the value pie=22/7, determine approximately how far curt rides each evening (1 mile=1760 yards).
2006-10-25 09:41:04 · 9 answers · asked by baby girl 123 1 in Science & Mathematics ➔ Mathematics
The diameter of the lake = 154 x 2 = 308 yards.
Circumfrence or one trip round the bike path = 308 x 22/7 = 968 yards
Six trips around the bike path = 968 x6 = 5,808 yards
In miles, that would be = 5,808 / 1760 = 3.3 miles.
2006-10-25 09:46:37 · answer #1 · answered by Know-it-all 4 · 0⤊ 0⤋
The circumference of the circle (around the lake) = 2 times the radius time pi----------------C = 2 pi R or 2 (22/7) 154 = 968 yds. for one trip around. He made 6 trips, so his total distance traveled is 968 X 6 = 5,808 yards. There are 1760 yds. per mile, so divide 5,808 yds. by 1760 yds./mile = 3.3 miles that Curt rode his bike
2006-10-25 10:53:30 · answer #2 · answered by Doug R 5 · 0⤊ 0⤋
The distance around the circular path is pi times diameter.
The diameter (D) is twice the radius so D = (2)(154)=308 yards.
Thus the distance around the lake is (22/7)(308).
Six times around the lake would be (22/7)(308)(6)=5,522.28 yards or 5528.28/1760=approximately 3.15 miles
2006-10-25 09:58:28 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
C = 2*pi*r
= 2*154*22/7
= 968 yards *6
= 5808 yards = 3.3 miles
2006-10-25 09:45:05 · answer #4 · answered by Annette J 4 · 1⤊ 0⤋
L=6*(2*pi*r)=6*2*22/7*154=5808 yards
L=5808/1760=3.3 miles
2006-10-25 09:48:27 · answer #5 · answered by A Friend 1 · 0⤊ 0⤋
The length of the path will be its circumference, which will equal 2πr. Multiply this number (about 967) by the amount of times he circles the lake (6) to get the distance in yards. Divide this number by 1760 to get the distance in miles.
2006-10-25 09:55:43 · answer #6 · answered by disgracedfish 3 · 0⤊ 0⤋
find the circumference of the circle 2r(pie) and then multiply by 6
so 968 is the circumference of teh circle.. n the total amount he rides in 6 times is 5808 yds... in miles.. 3.3
2006-10-25 09:46:55 · answer #7 · answered by reen 2 · 0⤊ 0⤋
oohhh! we had this question once and i could never get it right! sorry i can't help you with it...:(:(
2006-10-25 09:43:56 · answer #8 · answered by Tiibii 2 · 0⤊ 0⤋
what do you think?
2006-10-25 10:03:14 · answer #9 · answered by dabiri_v 1 · 0⤊ 0⤋