How do you find the diameter of the sun, given angular diameter and distance?

Angular diameter is 1/2 degree
and distance is 1.5 X 10^8 km

Answer 1

The angular diameter of the Sun is nearly 0.5334 deg. The diameter of the solar disc is nearly (Earth-Sun distance) X (angular diameter in radian) = 149598262 X (0.5334 #pi# /180) = 1392700 km..

Arc length = (radius) X (angular spacing in radian). A better approximation is from 2 X distance X sin (angular spacing / 2). sin x is nearly x, when x is very small. This formula also gives the same 5-sd value.1.3927 E+05 km. Increasing precision in angular spacing, we get more sd in the answer. An arc will be nearly straight when the angle subtended by an arc is small. As a result, the arc length is nearly the chord length.

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Answer 2

Clara Avalos

You can find the diameter of the Sun by using the formula: Diameter of the Sun = 2 * Distance * Tan(Angular Diameter / 2), where the distance is the distance from the observer to the Sun and the angular diameter is the apparent size of the Sun as seen from Earth.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you find the diameter of the sun, given angular diameter and distance?

Angular diameter is 1/2 degree and distance is 1.5 X 10^8 km

Angular diameter is 1/2 degree
and distance is 1.5 X 10^8 km