What is the distance between $(- 5, \frac{5 π}{6})$ $(-5 ,( 5 pi)/6 )$ and $(1, \frac{π}{2})$ $(1 , ( pi )/2 )$ ?

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What is the distance between $(- 5, \frac{5 π}{6})$ $(-5 ,( 5 pi)/6 )$ and $(1, \frac{π}{2})$ $(1 , ( pi )/2 )$ ?

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Answer 1 · 2017-09-26T01:59:17

Distance between points $= \frac{\sqrt{334}}{3}$ $=sqrt(334)/3$
$= 6.09189$ $=6.09189$

Explanation:

Distance between two points when the coordinates are given is $\sqrt{{(x 2 - x 1)}^{2} + ({(y 2 - y 1)}^{2})}$ $sqrt((x2-x1)^2+((y2-y1)^2)$
$= \sqrt{{(1 + 5)}^{2} + {(\frac{π}{2} - 5 \frac{π}{6})}^{2}}$ $=sqrt((1+5)^2+(pi/2-5pi/6)^2$
$= \sqrt{6^{2} + {(- 2 \frac{π}{6})}^{2}}$ $=sqrt(6^2+(-2pi/6)^2)$
$= \sqrt{36 + (\frac{π^{2}}{9})}$ $=sqrt(36+(pi^2/9))$
$= \sqrt{36 + (\frac{10}{9})}$ $=sqrt(36+(10/9))$
$= \frac{\sqrt{324 + 10}}{9}$ $=sqrt(324+10)/9$
$= \frac{\sqrt{334}}{3}$ $=sqrt(334)/3$
$= 6.09189$ $=6.09189$

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What is the distance between $(- 5, \frac{5 π}{6})$ $(-5 ,( 5 pi)/6 )$ and $(1, \frac{π}{2})$ $(1 , ( pi )/2 )$ ?

1 Answer

Explanation:

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