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Learn about the angle formed by the hour and minute hands on a clock at 3:30 in simple terms. Get a clear understanding of the Angles in Geometry.
What is the Angle between Hour Hand and Minute hand of a Clock at 3.30?
The angle between the hour hand and minute hand of a clock at 3:30 is 75 degrees.
Here’s how we can calculate it:
- Minute hand angle: At 3:30, the minute hand points directly at the 6, which is 180 degrees away from its starting position at the 12. So, the minute hand angle is 180 degrees.
- Hour hand angle: At 3:30, the hour hand has moved past the 3 by half the distance towards the 4. Since the hour hand moves 30 degrees per hour, it has moved 15 degrees in 30 minutes. Therefore, the hour hand angle is 90 degrees (pointing at the 3) + 15 degrees = 105 degrees.
- Angle between hands: To find the angle between the hands, we need to find the absolute difference between their individual angles. So, the angle between the hands is |180 degrees – 105 degrees| = 75 degrees.
Therefore, the angle between the hour hand and minute hand of a clock at 3:30 is 75 degrees.
How Many Angles are there in geometry?
In geometry, the term “angle” refers to the amount of rotation needed to bring one line or plane into coincidence with another. Angles are typically measured in degrees, and there are several types of angles based on their measures:
- Acute Angle: An angle that measures less than 90 degrees.
- Right Angle: An angle that measures exactly 90 degrees.
- Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees.
- Straight Angle: An angle that measures exactly 180 degrees.
- Reflex Angle: An angle that measures more than 180 degrees but less than 360 degrees.
- Full Angle: An angle that measures exactly 360 degrees.
Apart from these, angles can be classified based on their relationships with other angles, such as complementary (two angles add up to 90 degrees), supplementary (two angles add up to 180 degrees), and so on.
The above classifications cover common types of angles, but there are other specialized angles and geometrical concepts in various branches of mathematics. The study of angles and their properties is a fundamental aspect of geometry.
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Source: Math Hello Kitty
Categories: Math
