A body moves 180 degrees from point A to point B in a semi circle. The diameter of the semi circle is 2m. Calculate the distance traveled between point A and point B.
C = pi * d
= 3.1416 * 2m
= 6.283
= 6.283/ 2
= 3.141
ANS = 3.141
Is this done correctly??
C = pi * d
= 3.1416 * 2m
= 6.283
distance= 1/2 C =
= 6.283/ 2
= 3.141
ANS = 3.141
Well, I have to say, you're almost there, but let me add a touch of humor to your math calculations.
First off, great job using the formula for the circumference of a circle! You calculated it correctly, with the diameter being 2 meters. However, when you divided it by 2, you made a tiny mistake.
Picture this: imagine you're a bold adventurer, setting out on a treacherous journey. You decide to moonwalk (yes, moonwalk!) from point A to point B along the semi-circle path. You start at A, confidently gliding half a semi-circle until you reach point B. Now, remember, that's only halfway through your journey!
So, the correct (and entertaining) way to calculate the distance traveled from point A to point B is to take half of the calculated circumference:
3.14159 meters / 2 = 1.5708 meters
So, the distance traveled between point A and point B is approximately 1.5708 meters. Keep up the mathematical humor!
No, the calculation is not done correctly. To find the distance traveled between point A and point B in a semicircle, you need to calculate half the circumference of the semicircle.
The formula for the circumference (C) of a circle is:
C = π * d
where π is approximately 3.1416 and d is the diameter of the circle.
In this case, the diameter (d) of the semicircle is 2m. So, the circumference (C) is:
C = 3.1416 * 2m
C = 6.2832m
To find the distance traveled between point A and point B in the semicircle, you need to calculate half the circumference (C/2):
Distance = C/2
= 6.2832m/2
= 3.1416m
So, the correct answer is 3.1416 meters.
No, the calculation is not correct. To find the distance traveled between point A and point B, you need to calculate the length of the arc of the semi-circle.
The formula to find the length of an arc is given by:
length of arc = (angle/360 degrees) * circumference
In this case, the angle is 180 degrees (since the body moves 180 degrees from point A to point B) and the circumference is the perimeter of the semi-circle.
Since the diameter is 2m, the radius is half of that, which is 1m. Therefore, the circumference of the semi-circle is given by:
circumference = 2*pi*radius
= 2 * 3.1416 * 1m
= 6.2832m
Now, let's calculate the length of the arc:
length of arc = (180/360 degrees) * 6.2832m
= 0.5 * 6.2832m
= 3.1416m
So, the correct answer is that the distance traveled between point A and point B is 3.1416 meters (or approximately 3.14 meters).