Respuesta :
Answer:
Step-by-step explanation:
Using the formula for finding the circumference of a circle expressed as:
[tex]C= 2\pi r[/tex] where:
r is the radius of the circular track
If Juan ran on the inner track, which has a radius of 30 feet, the area of the trach is expressed as:
[tex]C_i= 2\pi (30)\\C_i = 60\pi ft[/tex]
If Miquel ran on the outer track which has a radius of 40 feet, the area of the outer track will be expressed as:
[tex]C_o= 2\pi (40)\\C_o = 80\pi ft\\[/tex]
To know how much further did Miquel run than Juan after two loops around the track, we will take the difference in the circumference as shown:
[tex]C = C_o - C_i\\C = 80\pi - 60\pi\\C = 20\pi\\C = 20(3.14)\\C = 62.8ft\\C = 2(62.8)\\C = 125.6 feet \\[/tex]
Hence Miguel has ran 125.6 ft further after two loops around the track
Answer:
C
Step-by-step explanation:
Mathematically, to calculate the distance run around the tracks, we need to know the circumferences of the tracks
The circumference of a circle is 2 π r
For the 40 feet track, circumference will be 2 * π * 40 = 80 π feet
In two loops, distance ran will be 2 * 80 π feet = 160 π feet
For the 30 feet track , circumference will be 2 * π * 30 = 60 π feet
In two loops, distance will be 2 * 60 π = 120 π feet
Thus, how much further Miguel ran will be the difference between the two loops
= 160 π - 120 π = 40 π feet
The distance here here if we substitute for π will be 40 * 22/7 = 125.71 ft
The closer answer to this is option C
