In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°. Circle O is shown. Line segments L O , M O, and N O are radii. The length of L O is 6 centimeters. Angle M O N is 75 degrees. The measure of arc L M is 6.3 centimeters. Rounded to the nearest tenth of a centimeter, what is the length of arc LMN? 7.9 cm 10.2 cm 12.6 cm 14.2 cm

cm

Step-by-step explanation:

Given

-- radius

-- arc

(see attachment)

Required

The length of arc LMN

First, we calculate the length of arc MN using:

--- length of arc

In this case:

So, we have:

So, the length of arc LMN is:

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

215.92 dollars is the answer