Therefore, the arc length of a sector of a circle with a central angle of n• is given ..

we know the circumference of the whole circle is  C = 2πr.

we know the number of sectors is 360/n.

if we split the whole circle's circumference by the amount of sectors, we end up with a division of the circumference by the sectors

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

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step-by-step explanation: