the minute hand of a circular clock is 8 cm long. How far does the tip of the minute hand move in 30 minutes? ( take pie = 3.14)
Answers
Answer:
In 1 hour, minute hand completes one round means makes a circle.
Radius of the circle(r)=15cm
Circumference of circular clock=2πr
=2×3.14×15=94.2cm
Therefore, the tip of the minute hand moves 94.2cm in 1 hour.
Given:
length of the minute hand is the radius for the circle it forms while moving
r = 8 cm
π = 3.14
To find:
the distance travelled by tip of the minute hand of the clock in 30 mins
Solution:
The distance that the minute hand of the clock travels 1 hr is equal to the circumference of the circle it forms while moving
= Circumference
= 2πr
The distance travelled in 30 mins is half of the circumference of the the circle it forms while moving.
= half of circumference
= 2πr/ 2
= πr
= 3.14 × 8 cm
= 25.12 cm
Therefore, the distance travelled by the tip of the minute hand of the clock is 25.12 cm.