Question

What is the difference of the lengths of BD and CE ? Use the value (pie) = 3.14, and round the answer to two decimal places.

1.25 units
1.57 units
2.56 units
2.84 units

Answer 1

B.) 1.57 units

Step-by-step explanation:

PLATO

Answer 2

1.57 units

Step-by-step explanation:

The formula for arc length is given as:

Arc Length =
`(\theta)/(360)*2\pi r`

Now,

• Arc length of BD =
  `(45)/(360)*2(3.14)(6)=4.71`

• Arc length of CE =
  `(45)/(360)*2(3.14)(8)=6.28`

The difference in CE and BD is
`6.28-4.71=1.57`

Second answer choice is right.

***** CE falls in the larger circle whose radius is AB + BC = 6+2=8

BD falls in the smaller circle whose radius is AB=6