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August 21, 2014

August 21, 2014

Posted by **Anonymous** on Monday, October 26, 2009 at 4:42pm.

- advanced functions -
**MathMate**, Monday, October 26, 2009 at 5:16pmDiameter of the moon = 3480 km

Distance from surface of the earth

= Distance to centre - radius of the earth

= 384400-6400 km

= 378000 km

Since the angle is very small, we can approximate the arc-length by the chord length, equal to the diameter.

Angle subtended

= 3480/378000

= 0.0092 radian

If we had used the chord instead, the difference in angle calculated would have been 0.0000000325 radians more.

i.e.

angle

= 2*sin^{-1}(1740/37800)

= 0.0092 radian

- advanced functions -
**Eric**, Tuesday, May 22, 2012 at 11:08pmSorry, I actually have a question. According to the question that was posted. If I were to solve this question, without knowing the radius of the earth before hand. Is there any other solution??

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