Circle O has radius 3. Points M and N lie on circle O, and mZMON is 58
degrees. What is the length of arc MN in radians?

Find attached to the question, a hand drawn diagram of the circle.

Complete Question

Circle O has radius 3. Points M and N lie on circle O, and mMON is 58

degrees. What is the length of arc MN in radians?

The length of arc MN in radians is 3.03687 radians.

Step-by-step explanation:

The formula for arc length =

s = rѲ

Where = = Arc length

r = radius

Ѳ = central angle in degree

In the question we were given the following values

r = radius = 3 units

Ѳ = central angle in degree = 58°

We were told to calculate arc length in radians

Therefore, we would convert 58° to radians using the formula

Degree ×  π/180

= 58 ×  π /180

= 1.012 radians.

Therefore, Arc length in radians =

S = rѲ

S = 3 × 1.0122909662 radians

= 3.0368728985 radians.

Approximately = 3.03687 radians.

Therefore, the length of arc MN in radians is 3.03687 radians.

yes

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2