We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to .
Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.
We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.
Now we will plug given values in our formula,
Therefore, the measure of d is 121 degrees.
Given that,
Speed of first bicycle = 9 mph
Speed of second bicycle = 5 mph
Suppose the length of the circle 24 miles.
We need to find the relative velocity
Using formula of relative velocity
Put the value into the formula
We need to calculate the time
Using formula of time
We need to calculate the distance of the points where the two bicycles meet
Using formula of distance
For first bicycles,
For second bicycles,
Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.
