Question

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.

The central angle is approximately ____ degrees

*Round to the nearest tenth as needed*

Answer 1

Central Angle (radians) = Arc Length / radius
Central Angle (radians) = 2,000 / 2,439
Central Angle (radians) = 0.8200082001
Central Angle (degrees) = 0.8200082001 * 57.2957795130823
= 46.9830090308 degrees rounded to nearest tenth =
47.0 degrees