In circle L with m^KLM 54 and KL= 10 units, find the length of arc KM. Round to the nearest hundredth.

Given:

In circle L, measure of angle KLM is 54 degrees and KL = 10 units.

To find:

The length of arc KM.

Solution:

The formula for arc length is:

         ...(i)

Where, r is the radius of the circle and is the central angle in degrees.

The measure of KL is 10 units, it means the radius of the circle L is 10 units.

The measure of angle KLM is 54 degrees, it means the measure of central angle on arc KM is 54 degrees.

Putting in (i), we get

Therefore, the length of arc KM is 9.42 units.

dude   i don't even know. i've been trying for hours.

step-by-step explanation:

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584