It’s 7 o’clock, draw the angle between hour and minute hands with the help of a protractor.
Open in App
Solution
- Place the base line of the protractor at the hour hand with its center coinciding with the center point of the clock.
- Measure the angle on the protractor which is in line with the minute hand.
- This is our required angle of \( 150^{\circ} \).
- We can also answer this with the concept that every two consecutive numbers of the clock subtend an angle of \( 30^{\circ} \). So from 7 to 12 , there are 5 such portions. This means the angle subtended will be equal to \( 30^{\circ} \times 5 \) which is equal to \( 150^{\circ} \).
Drawing the angle
- Step 1: Draw a line \( A B \) of some length (10 cm would be sufficient). Now, take a point \( O \) on this line (somewhere in the middle of it).
- Step 2: Now place the center of the protractor at point \( O \) and baseline of the protractor coinciding with that of line \( O B \).
- Step 3: Now mark a point \( C \) at an angle of \( 150^{\circ} \) in the protractor in clockwise direction (keeping \( 0^{\circ} \) at point \( A \) )
- Step 4: Join points \( O \) and \( C \). This \( \angle AOC \) is our required angle