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Ket [755]
3 years ago
7

Find the central angle in degrees of an arc of 2000 km on the surface of a planet if the radius of the planet is 2439 km.

Mathematics
1 answer:
mariarad [96]3 years ago
4 0
Central Angle (radians) = Arc Length / radius
Central Angle (radians) = 2,000 / 2,439
<span><span><span>Central Angle (radians) = 0.8200082001 </span> </span> </span>
Central Angle (degrees) = 0.8200082001 * <span> <span> <span> 57.2957795130823 </span> </span> </span>
= <span> <span> <span> 46.9830090308 </span> </span> </span> degrees rounded to nearest tenth =
47.0 degrees


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