Answered

What is the difference of the lengths of and ? use the value = 3.14, and round the answer to two decimal places. a. 1.25 units b. 1.57 units c. 2.56 units d. 2.84 units

Answer :

The difference between the length of arc BD and CE is 1.57 units

Length of an arc

length of arc = ∅ / 360 × 2πr

where

  • r = radius
  • ∅ = central angle

Therefore,

BD = 45 / 360 × 2 × 3.14 × 6 = 1695.6 / 360 = 4.71 units

CE = 45 / 360 × 2 × 3.14 × 8 = 2260.8 / 360 = 6.28 units

Therefore, the difference between the length of arc BD and CE is as follows:

6.28 - 4.71 = 1.57 units

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