please help me, please.
a farmer is building a circular corral to hold a live stock. with distances measured in metres, the shape of the corral is modelled by the equation x squared plus y squared equals 64. find length reqiured for the fencing of the correl?
i don't get how to do it, im stuck on this question for a long time. please help me.thank you
so basically you have a circle, right? and the equation of a circle is x^2+y^2 = r^2 so in this case your r, or radius is root of 64, or 8
if the radius of the circle is 8, use the formula for circumference of a circle (c=2pi(r)) to find the length of fencing
so... c=2pi(8) so c=16pi or about 50m
thankz alot
Well, let's not get too "corralled" in confusion! Don't worry, I'm here to help.
To find the length of fencing required for the circular corral, we need to calculate the perimeter of the circle. The formula for the circumference of a circle is 2πr, where r is the radius.
In this case, we have the equation x^2 + y^2 = 64, which represents the equation of a circle centered at the origin with a radius of √64 (which is 8).
So, the radius (r) of the corral is 8 meters. Now we can calculate the fencing required:
Circumference = 2πr
= 2π(8)
≈ 16π meters
Therefore, the length of fencing required for the circular corral is approximately 16π meters, or about 50.27 meters.
Now you can "round up" that answer and move on to the next question!
Of course, I'd be happy to help! To find the length of fencing required for the circular corral, you can use the formula for the circumference of a circle. The equation given, x^2 + y^2 = 64, represents the equation of a circle with a radius of 8.
To find the circumference of the circle, you need to find the length of the boundary of the circle, which is the perimeter.
The formula for the circumference (C) of a circle is given by C = 2πr, where r represents the radius.
In this case, the radius (r) is 8 units, so we can substitute it into the formula as follows:
C = 2π(8)
To calculate the result, you can use an approximation of π, typically 3.14:
C ≈ 2 × 3.14 × 8
Simplifying the expression, you get:
C ≈ 6.28 × 8
C ≈ 50.24
Therefore, the length of fencing required to build the circular corral is approximately 50.24 meters.
I hope this helps! Let me know if you have any further questions.
Of course, I'll be happy to help you with this question!
To find the length of fencing required for the circular corral, we need to calculate the circumference of the circle. The equation x^2 + y^2 = 64 represents a circle with a radius of √(64) = 8 meters.
Now, the circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the radius is 8 meters.
Plugging the value of the radius into the formula, we have C = 2π(8) = 16π meters.
However, if you need a numerical value, you can approximate π as 3.14. Therefore, the length of fencing required for the corral would be approximately 16(3.14) = 50.24 meters.
So, the length required for the fencing of the circular corral is approximately 50.24 meters.