I have an intuitive understanding of what degrees and radians are and what arc length, subtending, area of the sector and the derivation of the formula $$s = r \cdot \theta.$$ However due to lack of reasoning skills, I am unable to get started with these problems.
The problems go like this.
Find the angle between the minute hand of a clock and the hour hand when the time is (a) 5:25, and (b) 6:10.
Find the distance between the two points on the earth,when the arc joining these points subtends an angle $5$ minutes at the earth's centre, the radius of the earth being $6370$ kms.
The moon's distance from the earth is $360000$ kms and the diameter subtends an angle of $31$ minutes at the eye of the observer. Find the diameter of the moon.