the following measures shown in the diagram with the circle centered at Point A

AB = 9 m
Determine the approximate major arc length of .
16.63 cm25.38 cm40.39 cm56.55 cm

the following measures shown in the diagram with the circle centered at Point A AB 9 mDetermine the approximate major arc length of 1663 cm2538 cm4039 cm5655 c class=

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AC = 9 m; BC = 16.16 m; BD = 28.27 m; CD = 12.12 m

Find AC

AC = AB = 9 m

Find BC

∠BAC = 2π – 10π/7 = (14π – 10π)/7 = 4π/7

BC = θr = 4π/7 × 9 m = 16.16 m

Find BD

∠BAD = π

BD = θr = π × 9 m = 28.27 m

Find CD

C = 2πr

CD = C – BC – BD = 2πr – 4πr/7 – πr = (14πr – 4πr – 7πr)/7 = (3π/7)r

= (3π/7) ×9 m = 12.12 m

The approximate major arc length is 16.15m

Length of an arc

The formula for calculating the length of an arc

  • L =rФ

where

  • r is the radius
  • Ф is the angle

Substitute the given the values into the formula:

L = 9(4π/7)

L = 36π/7

L = 16.15 m

Hence the approximate major arc length is 16.15m

Learn more on length of an arc here: https://brainly.com/question/8020286

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