Finding distance between two adjacent objects

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In summary, to find the distance between two adjacent holes on a metal plate with a radius of 16.40 cm and 12 equally spaced locations around a circle, you can use the Law of Cosines to form an isosceles triangle and find the third side. Alternatively, the Law of Sines can also be used for a simpler computation.
  • #1
chr1is
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I have a question:

Holes are to be drilled in a metal plate at 12 equally spaced locations around a circle with a radius of 16.40 cm. Find the distance between two adjacent holes.

How do I draw the figure? And would I have to multiply 16.40 by 2 to get the distance?
 
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  • #2
One way would be to use the Law of Cosines...form an isosceles triangle using the center of the circle and two adjacent holes...you know the two equal sides of the triangle are the radius of the circle, and you know the angle subtending these sides, so you can find the third side using the Law of Cosines. You could also use the Law of Sines here as well, which would likely be computationally simpler.
 

FAQ: Finding distance between two adjacent objects

1. How do you measure the distance between two objects?

To measure the distance between two objects, you can use a measuring tool such as a ruler, tape measure, or measuring tape. Place one end of the measuring tool on one object and stretch it out to the other object to get an accurate measurement.

2. What units are typically used to measure distance?

The most common units used to measure distance are meters, centimeters, and kilometers. However, depending on the size and distance between the objects, other units such as feet, inches, or miles may be used.

3. How do you find the distance between two points on a map?

To find the distance between two points on a map, you can use a scale to convert the map distance to real-world distance. Measure the distance between the two points on the map and then multiply it by the scale to get the actual distance.

4. Can you find the distance between two objects without physically measuring?

Yes, you can find the distance between two objects without physically measuring by using mathematical equations such as the Pythagorean theorem or the distance formula. These equations use other known measurements, such as angles or coordinates, to calculate the distance between the two objects.

5. How is the distance between two objects affected by their relative positions?

The distance between two objects is affected by their relative positions. If the two objects are moving closer together, the distance will decrease, and if they are moving further apart, the distance will increase. Additionally, the distance may also be affected by any obstacles or barriers between the two objects.

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