Calculate the angular diameter ot the moon with these known tacts: moon's linear diameter 3480 km moon's average distance from earth 384,000 km number of arc seconds in 1 radian 2.06 x 10 a) 31 arc seconds b) 187 arc seconds c) 1750 arc seconds d) 1870 arc seconds

answer D. 1870 arc seconds

Explanation:

given data

Moon's diameter d = 3480 km

so radius r = 1740 km

Moon's distance from Earth R = 384,000 km

No of second in 1 radian = 2.06 ×

to find out

angular diameter of the Moon

solution

we know that angular radius is

angular radius =

angular radius =

angular radius = 0.0045 radius

so we can say radius for angular radius = 0.0045 radius

= 2.06 × × 0.0045

= 927

so diameter is = 2 × 927 = 1854 arc s

so it is near about answer D. 1870 arc seconds