the distance between two points A and B on Earth is measured along a circle having center C at the center of Earth and radius equal to the distance from C to the surface. If the diameter of Earth is approximately 8,000 miles, approximate the distance between A and B if angle ACB has the indicated measure:
a) 60 deg. b) 45 deg. c) 30 deg. d) 10 deg. e) 1 deg.
You just have to do one so that I know how to do the rest.
I tried doing S=theta times r, but that doesn't give me the right answer. I'm confused on how to do this.
a) 60 deg. b) 45 deg. c) 30 deg. d) 10 deg. e) 1 deg.
You just have to do one so that I know how to do the rest.
I tried doing S=theta times r, but that doesn't give me the right answer. I'm confused on how to do this.
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For s=rθ to work, θ needs to be in radians.
To convert degrees to radians, multiply the degrees by π/180.
radius = 1/2 diameter, so r = 4000.
a)
60 degrees = 60*π/180 = π/3
s = rθ = (4000)π/3 = 4189 miles
To convert degrees to radians, multiply the degrees by π/180.
radius = 1/2 diameter, so r = 4000.
a)
60 degrees = 60*π/180 = π/3
s = rθ = (4000)π/3 = 4189 miles