How to draw longitudinal lines on a circle as Earth?

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Nargis Adham
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I have a circle, representing Earth with equator drawn on it. I need to draw longitudinal lines on 15 degree, 30 degree, and 60 degrees distance? I am not sure how and from where to measure these angular distances. Thanks.
 
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How did you draw an equator on a circle? Do you mean a sphere?

These may help.
https://www.google.co.nz/search?q=l...ChMI3KjJlpzrxwIVRRamCh00bwXM&biw=1680&bih=925

And this:

Diagram of a circle with centre angle θ between two red radii, an arc labelled s between their endpoints, and the formula s = rθ in red at top; r labelled on the horizontal radius. Credit: mathwarehouse.com.
 
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Nargis Adham said:
I have a circle, representing Earth with equator drawn on it. I need to draw longitudinal lines on 15 degree, 30 degree, and 60 degrees distance? I am not sure how and from where to measure these angular distances. Thanks.
The Earth is a ball. The angle is measured at the center of the Earth.

Imagine a point X on the equator. Imagine a line going directly north from that point. Imagine a point Y somewhere on that north-going line.

Imagine a line x between point X and the center of the Earth. Imagine a line y between point Y and the center of the Earth. There is an angle between the two lines. That's the measure of longitude.

To figure out where to draw the line of longitude in your circle on paper, you will need trigonometry.
 
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Project a line from the center of the circle straight down. This is 0 degrees.
Rotate this line left or right 15 degrees, place a vertical line where it intersects the circle. Where this vertical line intersects the equator is where the longitude is.
Repeat for 30, 60 degrees.
If you want to draw in the entire longitude you'd have to draw parts of an ellipse.
Diagram of a circle with a horizontal black line across the middle, a green radius from the center to the lower-left edge, a green vertical line down from the center, a red dashed vertical line near the lower left, and a blue arc labelled 15 degrees between the two green lines.
 
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What scientific601 is demonstrating is that you can start by drawing the sphere looking down on it from above. Then project those points to the face.
Two diagrams of a sphere: the top one viewed from above with a pole, an equator label and several meridian lines, and the bottom one viewed from the side showing curved meridian lines converging at the pole, with red projection lines linking the two views.
scientific601 has eloquently done it without needing to use an extra circle.
 
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Thank you so much everyone for your help and your time. Your answers are very helpful for me. Thanks again!