The circle below has center K, and its radius is 3 yd. Given that m 2 LKM = 70°, find the length of the major arc LNM.

Give an exact answer in terms of 71, and be sure to include the correct unit in your answer.

Length of major arc LNM :

The length of the major arc is (29/6)π or 4.83π

Step-by-step explanation: The circle with center K has an arc with a radius of 3 yards and an angle subtended at the center which measures 70 degrees.

Therefore the major arc LNM would have its central angle measured as follows;

Angle ∅ = 360 - 70 (Sum of angles on a point equals 360)

Angle ∅ = 290

The calculation for the length of an arc is given as;

Length of arc = (∅/360) x 2πr

Where ∅ = 290, and r = 3, the length of the major arc becomes;

Length of arc = (290/360) x 2 x π x 3

Length of arc = (29/36) x 6π

Length of arc = (29 x π x 6)/36

Length of arc = 29π/6

This can equally be expressed as (29/6)π or 4.83π

**Note that answer has been expressed in terms of π**

step-by-step explanation:

goog be able to you with that maybe

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!