Math Problem Statement

The number of right angles turned through by the hour hand of a clock when it goes from 2 to 8 is: and An angle whose measure is equal to half of a revolution is:

Solution

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Question 6:
The number of right angles turned through by the hour hand of a clock when it goes from 2 to 8 is:

A right angle corresponds to a 90-degree turn.
1 hour on the clock represents 36012=30\frac{360^\circ}{12} = 30^\circ.

  • From 2 to 8, the hour hand moves 82=68 - 2 = 6 hours.
  • Therefore, the total angle turned is 6×30=1806 \times 30^\circ = 180^\circ.
  • 180=2180^\circ = 2 right angles.

Answer: (b) 2


Question 7:
An angle whose measure is equal to half of a revolution is:

A full revolution equals 360360^\circ.
Half of a revolution equals 3602=180\frac{360^\circ}{2} = 180^\circ, which corresponds to a straight angle.

Answer: (c) Straight angle


Would you like more details on how the calculations were performed?

Here are 5 related questions for more practice:

  1. How many right angles does the hour hand turn when it moves from 3 to 9?
  2. What is the total angle turned by the minute hand in one full revolution?
  3. Define a right angle in degrees and radians.
  4. How many degrees does the hour hand turn in 5 hours?
  5. How is a straight angle different from an obtuse angle?

Tip:
Remember that a full circle or revolution always equals 360360^\circ, and right angles are 9090^\circ.

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Math Problem Analysis

Mathematical Concepts

Angles
Clock Geometry
Revolutions and Turns

Formulas

Angle moved by hour hand per hour = 360° / 12 = 30°
Right angle = 90°
Half revolution = 180°

Theorems

Angle calculation for clock hands
Definitions of right angle and straight angle

Suitable Grade Level

Grades 5-7