What will be the time if the clock covered a

Tara Alvarado

Tara Alvarado

Answered question

2021-12-12

What will be the time if the clock covered a distance of 4π3 radians? What is the measure of the angle formed in degree?

Answer & Explanation

braodagxj

braodagxj

Beginner2021-12-13Added 38 answers

Step 1
Given:
The clock covered a distance of 4π3 radians.
Step 2
A circle has a 360-degree angle or 2π radian.
So, the hand of a clock also travels as complete 360 degrees or 2π radian to complete 1 hour.
So, the angle in between each hour is 36012=30,
Convert 4π3 angle into degree.
4×1803=240The measured angle formed in degree is 240.
The negative sign indicated direction counterclockwise.
To find the time in hours required to angle 240 between each hour is 24030=8hours.
The clock is usually based on the 12-hour category of time.
The angle is counterclockwise so, subtract 8 from 12,
128=4So, the time will be 4'o-clock.
Ethan Sanders

Ethan Sanders

Beginner2021-12-14Added 35 answers

Step 1
A measure of a full angle is equal to 2π} radians.
Also, a measure of a full angle is equal to 360 degrees.
2p=360
Divide the equality by 2π.
2π2π}=3602π
Reduce the fractions: 1=180π
Therefore, when you want to convert the angle measure in radians into the angle measure in degrees, multiply the angle measure in radians by
180π
Step 2
To convert 4π3 into the degrees, multiply the given angle measure by 180π
4π3=4π3180π
Simplify the right side of the equality:
4π3=240
Between each hour is 24030=8hours
The angle is counterclockwise so, subtract 8 from 12,
128=4

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