Question

What is the measure of angle traversed by a minute hand from 12 O’ clock to 1 O’ clock ?​

Answer 1

Answer:

The angle between the hour and minute hand at 12:15 is 82.5°

Step-by-step explanation:

Hour hand (HH):

Rotation covered in one hour = 30°

Rotation covered per minute = 30°/60 = 0.5°

At 12:00, the HH is at 12.

After 12, the rotation made by HH till 12:15 = 15 x 0.5° = 7.5°

Minute hand (MH):

Rotation covered in one hour =360°

Rotation covered per minute = 360°/ 60 = 6°

At 12: 15 the angle of MH w.r.t 12 = 6°x 15 = 90°

Therefore,

Angle between HH and MH = 90° - 7.5° = 82.5°