Final answer:
To find the distance between two points, use the distance formula. The midpoint between two points can be found using the midpoint formula.
Step-by-step explanation:
To find the distance between two points, you can use the distance formula. The formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Given the points (π/4, 8) and (π/6, 0), we can substitute the values into the formula:
d = sqrt((π/6 - π/4)^2 + (0 - 8)^2)
Simplifying further, we get:
d = sqrt((π/12)^2 + 64)
For the midpoint of the line segment joining the two points, you can use the midpoint formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
Using the given points, we can calculate the midpoint as:
M = ((π/4 + π/6)/2, (8 + 0)/2)
Simplifying further, we get:
M = (5π/24, 4)
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