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If a circle with a diameter of 4 inches rotates 100 degrees what distance will any one spot on its edge actually travel?
Wiki User
∙ 14y ago
There are a couple of ways to look at this problem, so the wording is very important. The question you ask is the distance actually traveled, which is measured along the outside of the circle. Because the circle turns 100 degrees, or 100/360 of a full rotation, and the circumference is 4*pi, this distance is
(100/360)*(4*pi) = 3.49 inches (approx)
You can also ask what the displacement of the point is, which is the straight-line distance from its starting point to the ending point and is measured along the chord drawn between the points. This distance is the base of an isosceles triangle with equal sides of length 2 inches and an angle of 100 degrees between them. One way to calculate that length is to apply the law of sines (and note that the remaining two interior angles have measure 40 degrees):
base = (2 / sin 40) * sin 100 = 3.06 inches (approx)
Wiki User
∙ 14y ago
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What are all circles?
All circles are plane curves drawn by a point that rotates 360 degrees at a constant distance from a fixed point.
Why do you have to know the circumference of your bicycles wheel in order to set a cyclometer?
A larger diameter wheel rotates a fewer number of times to cover the same distance as a smaller wheel.
How many hours are there in a degree?
In general, you can't convert between hours and degrees. However, if you have an object that rotates at a specified rate, you can say that the object rotates at so-and-so many degrees per hour, per second, etc. For example, Earth rotates at about 15 degrees/hour.
If a circle with a diameter of 4 inches rotates 1000 what distance will any one spot on its edge actually travel?
1 revolution = 1 circumference = (4 pi) inches1,000 revolutions = 1,000 circumferences = (4,000 pi) inches =12,566.4 inches (rounded)1 furlong 129 yards 2.37 inches (rounded)
What angle in degree does the minute hand of a clock rotates in 25 times?
It rotates 25*360 = 9000 degrees.
What are all circles?
All circles are plane curves drawn by a point that rotates 360 degrees at a constant distance from a fixed point.
If a circle with a diameter of 4 inches rotates 1000 degrees what distance will any one spot on its edge actually travel?
Each full rotation of the circle equates to 360°. When the circle has rotated through 1000° it has rotated 1000/360 = 2.7778 times. Each rotation means that a spot on the perimeter travels a distance of 2πr = πD inches. A rotation of 1000° means the spot has travelled 2.7778 x 4π = 34.91 inches (2dp)
Why do you have to know the circumference of your bicycles wheel in order to set a cyclometer?
A larger diameter wheel rotates a fewer number of times to cover the same distance as a smaller wheel.
Through how many degrees does the hour hand move?
Each hour, it rotates through 30 degrees, every twelve hours, it rotates 360 degrees.
When does the earth rotates through 360 degrees longitude?
The Earth rotates through 360 degrees of longitude every 24 hours. This rotation causes the cycle of day and night as different parts of the Earth are exposed to the Sun's light.
For a time difference of one hour the longitudinal distance is equal to?
The longitudinal distance for a time difference of one hour is approximately 15 degrees. This is because Earth rotates 360 degrees in 24 hours, so in one hour it covers 1/24th of the total 360 degrees, which equals 15 degrees.
How many degrees does the earth rotate in 3 hour?
It rotated 15 degrees, because 360 divided by 24 is 15, and 15 times 3 is 45.
What planet rotates at 180 degrees?
Venus
When the minute hand of the clock rotates 15 minutes what is the degrees?
90 degrees
What could rotates at 90 degrees?
A right angle
What planet rotates at 90 degrees to the others?
Uranus is the planet that rotates at about a 90-degree angle compared to the other planets in our solar system. This unique tilt causes Uranus to essentially roll on its side as it orbits the Sun.
How many hours are there in a degree?
In general, you can't convert between hours and degrees. However, if you have an object that rotates at a specified rate, you can say that the object rotates at so-and-so many degrees per hour, per second, etc. For example, Earth rotates at about 15 degrees/hour.
