The Sun subtends an angle of 0.00928 rad when viewed from the surface of Earth, and its distance from Earth is 1.5 × 1011 m. What is the diameter of the Sun?

Answer 1

If we measure the angle in radians, the arc length is just the angle x the radius.

Since it is a very small angle, the arc length will be approximately the same as the diameters

Hence the diameter = (0.00928 radians) x 1.5 x 10¹¹ = 1.392 x 10⁹ meters or 1,392,000 kms