The distance the moon travels in orbiting the earth through an angle of 1.17 radians is 446312.88 km
"The distance along the part of the circumference of any circle."
"[tex]s=r\theta[/tex], where r is the radius of the circle and [tex]\theta[/tex] is the central angle of the arc ( θ must in radians))"
For given question,
The moon has a circular orbit around the earth.
The distance from the earth to the moon is approximately 381464 km.
⇒ r = 381464
The central angle is, [tex]\theta=1.17[/tex] radians
So, the distance the moon travels in orbiting the earth through an angle of 1.17 radians is,
[tex]\Rightarrow s=r\theta\\\\\Rightarrow s=381464 \times 1.17\\\\\Rightarrow s=446312.88~km[/tex]
Therefore, the distance the moon travels in orbiting the earth through an angle of 1.17 radians is 446312.88 km
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