Answer:
The answer is
= 0.45; rounded up(to the nearest tenth) is 0.5
Explanation:
The angle measure of a circle in radians is 2
.
First, find the circumference of the circle in terms of
.
The formula for the circumference of a circle is 2
r (2 ×
× radius)
Then find the ratio of the arc length of the central angle to the circumference.
Arc length of the central angle = 5.
Circumference = 22

The ratio of the arc length of the central angle to the circumference is equal to

Now use that ratio to find the central angle in radians by multiplying it by the angle measure of the circle in radians.
× 2
= 5/11
Round to the nearest tenth:
≈ 0.4545 = 0.5