Physics, asked by abdsohail2004, 9 months ago

What is the radian measure between the arms of watch at 5 pm

Answers

Answered by ManavBokolia23
23

Answer:

5/6 π radians ; 2.618 radians

Explanation:

• A full circle is comprised of 2π radians.

• At 5 PM , the arms of a 12-hour clock are separated by 5/12 of a full circle.

• Thus the angle between them is 5/12 of 2π radians = 5/6 π radians or roughly 2.618 radians.

Answered by MotiSani
9

Given:

Time given  = 5 pm

To find:

Angle measure in radian = ?

Step-wise solution:

Let us first understand the concept of radian:

The angle subtended by an arc of identical length as the radius at the centre of a circle is measured in radians.

First let us calculate angle in degrees at 5 pm:

At 6 pm angle = 180°

Angle at 5 pm = 180° - 30° (∵ The minute hand will be at 12 and hour hand at 5. We already know that the 12 sectors is divided at 30 ° equally)

∴ Angle at 5 pm = 150°

To calculate radian when angle is known use following formula:

Radians = Degrees × π / 180°

Radians = 150° × π / 180°

Radians = 150° × (3.14 / 180°).   (∵π = 3.14)

Radians = 471 / 180

Radians = 2.61

Hence, 2.61 radians is the angle measure between the arms of watch at 5 pm.

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