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hello can you help me solve this trigonometry question and in the question use pi to answer it

Hello Can You Help Me Solve This Trigonometry Question And In The Question Use Pi To Answer It class=

Sagot :

The area A of a portion of a circle is:

[tex]A=\pi\cdot r^2\cdot\frac{\alpha}{2\pi}[/tex]

Where alpha is the angle of the portion of the circle. So, to find the radius, we clear 'r' from the expression above:

[tex]38=\pi\cdot r^2\cdot\frac{1}{2\pi}\cdot\frac{7}{5}\pi[/tex]

We can cancel the pi on the left of 'r' with the one on the right (the one that's dividing):

[tex]38=r^2\cdot\frac{7\pi}{2\cdot5}[/tex]

So, now we clear 'r':

[tex]\frac{38\cdot2\cdot5}{7\cdot\pi}=r^2[/tex][tex]\sqrt[]{\frac{380}{7\pi}}=r[/tex]

So, the answer is:

[tex]r=\sqrt[]{\frac{380}{7\pi}}km[/tex]