Jillian runs in a running track that has straight sides and semicircular parts. If the length of the track is 440 yd and the two straight parts are each 110 yd long.
Question:
What is the radius of the semicircular parts?
Warning: Need solution!
Correct Answer Only!
Nonsense = Report
(for my little sister)
Question:
What is the radius of the semicircular parts?
Warning: Need solution!
Correct Answer Only!
Nonsense = Report
(for my little sister)
Answers & Comments
We can answer this question by basing our solution off of the values given.
Since the total length of the track is given as 440 yards, and the two straight parts are each 110 yards long, The remaining distance is made off of the semi-circular parts of the track.
We can multiply the length of the two straight parts by 2 and subtract it from the total length of the running track.
440 yards - 2(110 yards) = 220 yards.
Therefore, 220 yards is the total length of the two semicircular parts on the track.
Now, in order to get the length of a single semicircle part, we can use the formula of finding the circumference of a circle. (C = 2πr)
2πr = 220 yards.
In order to find the radius,
r = 220 yards/2(π) is approximately equal to 35.05 yards.
According to our answer, the approx. radius of each semicircular part is = 35.05 yards.