can u tell how 2 calculate no of radians betwwen hour and min hand of clock at 3:30?

Answer 1

There are 2*pi radians in a full circle. There are 12 numbers on the clock, so each number represents 2*pi/12 or pi/6 radians. Starting at the 6, and counting towards 3, you get 2 and 1/2 numbers worth (because at 3:30, the hour hand is half way between 3 and 4) which is 5/2 * pi/6 or 5*pi/12 radians. Since pi is approximately 3.14159, you would have about 1.309 radians.

Answer 2

the basic geometry first:

if both of the hands are pointing on 12 then we obviously have 0 degrees

now as the long hand rotates the shorter hand rotate as well respectively.

consider 12:30, let's discuss the minor angle. the longer hand is pointing on 6 and the shorter hand is 'halfway' to 12 and 1, that then after considering it as a half revolution or 180 degrees, we need to subtract 15 [each figure on the clock is equivalent to 30 degrees] degrees since it's heading towards the first half of the clock; so the solution will be 180 - 15 = 165.

let's answer it: 3:30, shorter hand is on 3 and longer hand is on 6 giving us 90 degrees minus 15 degrees yields to 75 degrees or:

75 degrees = 5/24 x 2π radians = 5π/12 radians

Answer 3

This is 90°
360°<-----> 2π radians
90°<------->(1/4) x 2π radians = π/2 radians
Angle = π/2 radians