Find the arc length corresponding to an angle of a degrees on a circle radius of 4.9
Enter the exact answer.
I put the arc length was 4.9api/180
got it wrong. Any help?
circumf = 2πr = 2π(4.9) = 9.8π
so 360° of arc = 9.8π units
and 1° of arc length = 9.8π/360
= 49π/1800 units
Maybe they didn't like your decimal, but your answer is correct
Well, it seems like you're mixing your units here. When calculating the arc length, you need to use radians instead of degrees. So, let's start over.
The formula for the arc length is given by s = rθ, where s is the arc length, r is the radius, and θ is the angle in radians.
Since the angle is given in degrees, you need to convert it to radians by multiplying by π/180. So the correct formula becomes s = 4.9 * (a * π/180).
Therefore, the correct answer would be s = 4.9a * π/180, where a is the given angle in degrees.
Keep in mind to always make sure the units match up when dealing with formulas!
To find the arc length corresponding to an angle of a degrees on a circle with a radius of 4.9, you can use the formula for arc length:
Arc Length = (angle / 360) * 2π * radius
Given that the angle is "a" degrees and the radius is 4.9, the formula becomes:
Arc Length = (a / 360) * 2π * 4.9
To ensure the most accurate and precise answer, it is best to leave the answer in terms of π rather than using an approximate value.
Therefore, the exact answer for the arc length is:
Arc Length = (a / 360) * 2π * 4.9
Note: Please substitute the value of "a" into the formula to get the exact answer for your specific angle.
To find the arc length corresponding to an angle of "a" degrees on a circle with a radius of 4.9, you can use the formula:
Arc Length = (a/360) * 2π * r
where "a" represents the angle in degrees and "r" represents the radius of the circle.
In this case, you correctly identified the radius, which is 4.9. However, you made a mistake in the calculation. Instead of multiplying the angle (a) by π/180, which converts degrees to radians, you multiplied the radius by π/180.
To correct this, multiply the angle (a) by (2π/360) or (π/180), then multiply it by the radius (4.9).
The correct formula would be:
Arc Length = (a/360) * 2π * r
= (a/360) * (2π/1) * 4.9
= (a/360) * (2π) * 4.9
= (a/360) * 9.8π
So, the correct arc length corresponding to an angle of "a" degrees on a circle radius of 4.9 is (a/360) * 9.8π.