Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x + 26/10x
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken
Darpan runs a distance of 12 km and then cycles a distance of 26 km.
Total distance = 12 + 26 = 38km
The running speed is x km/h
A = x
The cycling speed is 10 km/h faster than his running speed
B = 10x
He takes a total time of 2 hours and 48 minutes.
So, the total time he takes
Time = Distance x speed
2.48 = 12/x + 26/10x
10x(2.48) = 120 + 26
24.8x = 146
x = 5.8
Learn more about speed here;
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