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What is the arclength of the Gateway Arch?
It is 630 feet from one base of the arch to the other, and it is 630 feet high. Using the formula ARCLENGTH = (RADIUS)(ANGLE), the answer is ARCLENGTH = 1,979.2 feet.
What is the initial arclength of a pendulum when you know the length and mass and max velocity and initial height of the pendulum?
If you know the initial height and the length of the pendulum, then you have no use for the mass or the velocity. You already have the radius of a circle, and an arc for which you know the height of both ends. You can easily calculate the arc-length from these. And by the way . . . it'll be the same regardless of the mass or the max velocity. They don't matter.
What is an inverse hyperbolic function?
The inverses of hyperbolic function are the area hyperbolic functions. They are called area functions becasue they compute the area of a sector of the unit hyperbola x2 − y2 = 1 This is similar to the inverse trig functions which correspond to arclength of a sector on the unit circle
How many thousandths of an inch are in 22 degrees at a diameter of 3.473?
First find the circumference, then multiply by 22/360 to get the arclength. The circumference is pi time the diameter (or 2pi times the radius). Pi times 3.473 is 10.9107512. Multiplying that by 22, and dividing by 360 is .667 after rounding. The answer is 667 thousandths.
How do you find the lateral surface area of a cone?
pi times l times r (r and l are the radius and slant height, respectively)This can be derived by using a ratio (area/circumference) of the circle with radius L (slant height) with the ratio of the arc (arc-area/arclength). It should look something like this.(pi*l^2)/(2pi*l) = (arc-area)/(2pi*r)
A railroad curbe is laid out on a circle. What radius should be used if the track is to change direction by 20 degrees in a distance of 100 milesround your answer to the nearest mile?
The angle of direction change is equal to the angle of arc length on the circle. Thus the fraction of the arc length (the distance the change takes place in, 100 miles) divided by the total circumference of the circle is equal to the angle of the arclength divided by the total angle of the circle i.e. 20/360. Since the circumference is equal to 2*pi*radius the rest is a matter of simple algebra in order to find the radius.
