Question

When Venus is 45,000,000 kilometers from Earth, it has an angular size of 55 arc seconds. From this, what is the diameter of Venus, in kilometers?

Answer 1

11999.14 km

Step-by-step explanation:

Given that the angular size of the Venus with radius, 45,000,000 kilometers is 55 arc seconds.

Also,

1 arc seconds = 1 / 3600 degrees

1 degree = π /180 radians

So,

1 arc seconds = π / (3600 × π) radians

So,

55 arc seconds = 55 × π / (3600 × 180) radians

Also,

Arc length is:

s = r * theta

s = 45000000 * ( 55 × π / (3600 × 180) )

s = 11999.14 km