Answer:
l = 90, x = 62, r = ?
arc length is:
l = x · 2πr / 360
90 = 62 · 2πr / 360
360 · 90 = 360(62 · 2πr) / 360
32400 = 389.36r
32400 / 389.36 = 389.36r / 389.36
r = 83.2
Explanation:
1. label the values and write down the arc length formula
2. replace the l and x by their values
3. multiply both sides by 360 to get rid of the 360 at the denominator
4. since 360 cancel out 360, you're left with 62 · 2πr. multiply them to be able to solve for r. (you can use 3.14 for pi)
5. divide both sides to get r by itself