# Flowerbed

In the park there is a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the smaller Vojtoseven times. How many meters each went by and how many meters did Jakub run more than Vojta?

Result

j =  377 m
v =  263.9 m
x =  113.1 m

#### Solution:

$D = 12 \ m \ \\ o = \pi \cdot \ D = 3.1416 \cdot \ 12 \doteq 37.6991 \ m \ \\ j = 10 \cdot \ o = 10 \cdot \ 37.6991 \doteq 376.9911 = 377 \ \text{ m }$
$v = 7 \cdot \ o = 7 \cdot \ 37.6991 \doteq 263.8938 = 263.9 \ \text{ m }$
$x = j-v = 376.9911-263.8938 = \dfrac{ 1131 }{ 10 } = 113.1 = 113.1 \ \text{ m }$

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