Oh, dude, you're hitting me with the math questions! So, the circumference of a circle is just π times the diameter, which in this case is 6.5 cm. So, the circumference would be 6.5π cm... but who's really measuring that precisely, right? Like, just round it to a nice number and call it a day.
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The circumference of a circle can be calculated using the formula C = π * d, where C is the circumference, π is a constant approximately equal to 3.14159, and d is the diameter of the circle. In this case, the diameter is 6.5 centimeters, so the circumference would be C = 3.14159 * 6.5 = 20.42 centimeters.
The circumference of a circle with a diameter of 6.5 centimeters is about 20.42 cm (d x Pi = c)
radius = 65/(2*pi) = 10.3450713 inches
40 cm x 65 cm = 2,600 cm
Endpoints of diameter: (-10, -2) and (4, 6)Midpoint which is the center of the circle: (-3, 2)Radius of the circle: square root of 65Equation of the circle: (x+3)^2 +(y-2)^2 = 65
There are 728.3 revolutions per minute, and the angular speed is 4576 radians per minute. This is how you get these answers: (a). Revolutions per minute. 1. Find the circumference of the circle. C= piX Diameter. In this case, C=7.8539816 2. Turn 65 mph into minutes/ft. Thus, 5280ft = 1 mile. 65X5280= 343200 ft. per hour. 1 hr = 60 minutes. 343200/60 = 5720 ft. / per minute. 3. Finally, divide. 5720/7.8539816 = 728.29 = 728.3. (b). Angular speed = central angle/time = Theta/t 1. 728.3 rpm. Now, since 1 revolution = 2pi, then, (728.3)(2pi) radians per minute. Your answer should be 4576.043859. Round to 4576 radians per minute, and you are done!!
100 degrees east longitude / 65 degrees north latitude is plumb in the middle of northern Siberia, almost but not quite at the Arctic Circle. You don't want to go there.