Arunner runs around a circular track. he completes one lap at a time of t = 269 s at a constant speed of v = 4.6 m/s. what is the radius, r in meters, of the track?

The radius in meters is 196.9 meters.

The runner ran around the track in 269 seconds at a speed of 4.6 m/s. This will enable us to find the distance around the track which is the circumference of the track.

Distance = Speed × time

= 4.6 × 269

= 1,237.4 meters

The distance here is the circumference which can also be found by the formula:

Circumference = π × diameter

1,237.4 = 22/7 × Diameter

Diameter = 1,237.4 ÷ 22/7

= 393.7 meters

Now that we have the diameter, the radius is:

= Diameter / 2

= 196.9 meters

In conclusion, the radius is 196.3 meters

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Step-by-step explanation:

The formula relating distance (d), speed (s), and time (t) is

d = st

1. Calculate the distance

d = 269 s × 4.6 m·s⁻¹ = 1240 m

2.Calculate the track radius

The distance travelled is the circumference of a circle

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!