To find the length s in the circle, we use the formula s = rθ, where r is the radius of the circle and θ is the central angle in radians.
Given that 2x/3 = 5in, we can solve for x by multiplying both sides by 3/2:
x = (3/2) * 5in
x = 7.5in
Therefore, the radius of the circle (r) is 7.5in.
We are given that the central angle is 2x/3, which is 2(7.5)/3 = 5 radians.
Now we can find the length s using the formula:
s = rθ
s = 7.5in * 5 radians
s = 37.5in
Therefore, the length s is 37.5in, which when rounded to the nearest tenth is 37.5in.
Use the given circle. Find the length s to the nearest tenth.
2x/3 5in.
10.5in.
5.2 in.
3.3 in.
20.9 in.
1 answer