circumf = 2Ï€r = 2Ï€(4.9) = 9.8Ï€
so 360° of arc = 9.8π units
and 1° of arc length = 9.8π/360
= 49Ï€/1800 units
Maybe they didn't like your decimal, but your answer is correct
Enter the exact answer.
I put the arc length was 4.9api/180
got it wrong. Any help?
so 360° of arc = 9.8π units
and 1° of arc length = 9.8π/360
= 49Ï€/1800 units
Maybe they didn't like your decimal, but your answer is correct
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!
Arc Length = (angle / 360) * 2Ï€ * radius
Given that the angle is "a" degrees and the radius is 4.9, the formula becomes:
Arc Length = (a / 360) * 2Ï€ * 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) * 2Ï€ * 4.9
Note: Please substitute the value of "a" into the formula to get the exact answer for your specific angle.
Arc Length = (a/360) * 2Ï€ * 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 (2Ï€/360) or (Ï€/180), then multiply it by the radius (4.9).
The correct formula would be:
Arc Length = (a/360) * 2Ï€ * r
= (a/360) * (2Ï€/1) * 4.9
= (a/360) * (2Ï€) * 4.9
= (a/360) * 9.8Ï€
So, the correct arc length corresponding to an angle of "a" degrees on a circle radius of 4.9 is (a/360) * 9.8Ï€.