Question

The figure shows an aerial view of a playground. If David runs around the field three times, he covers a distance of ________ yards.

Answer 1

If it were a complete circle, what would be the distance for an entire lap?

Answer 2

@tkhunny It doesn't say

Answer 3

I wouldn't expect it to. Calculate it, please.

Answer 4

@tkhunny would it be .384?

Answer 5

?? \(2\pi*Radius\)

Answer 6

and the radius is 35?

Answer 7

35 yds. That is right. So, IF it were a complete circle, how far would it be for one trip around the circle?

Answer 8

then it is 219.8 meters?

Answer 9

yards I meant

Answer 10

Why not just keep it at \(70\pi\) instead of rounding. Are we ORDERED to use 3.14 for \(\pi\)?

Answer 11

yes

Answer 12

Silly, but okay. 219.8 yds it is.

Next question. How many degrees of the circle are missing?

Answer 13

80º

Answer 14

Excellent. Now, how many yards of the circle are missing?

Answer 15

45?

Answer 16

Hmmm... Better try that again. (80/360) * 219.8 = ??

Answer 17

48.84

Answer 18

That's the idea.

Recap

Whole Circle: 219.8 yds
Circle Missing: 48.8 yds
Run Straight Instead: 45 yds

What is the total distance for one lap around the field?

Answer 19

216 yards?

Answer 20

That's what I get. VERY good work. Now, can we answer the question?

Answer 21

Yes we can:) thank you so much!!

Answer 22

Super. You keep trying hard. You are doing well. :-)

Answer 23

Thank you. So the final answer is 648

Answer 24

You should be telling me. Don't forget your units.

Answer 25

Ok:)