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.

Answer 1

Answer:

1.57 units

Step-by-step explanation:

The formula for arc length is given as:

Arc Length = $\frac{\theta}{360}*2\pi r$

Now,

• Arc length of BD = $\frac{45}{360}*2(3.14)(6)=4.71$

• Arc length of CE = $\frac{45}{360}*2(3.14)(8)=6.28$

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