Question

Please help!!! Need to submit!!! "Create a circle graph that illustrates how much time you spend each day eating, sleeping, exercising, and doing other activities. Consider a day to be 24 hours. Post the percentages and arc lengths in terms of π for each sector of the circle you create, even if you are unable to post the actual circle graph."

Answer 1

Here's my percentages:
Sleep = 25%
eating = 10%
school = 15%
excersize = 5%
free time = 45%

and I want to have a radius of 7.

Answer 2

My teacher said we can choose whatever radius length we want, since it depends on how big the circle is.

Answer 3

Divide 360 degrees according to your given percentages

Answer 4

If you want to make the graph proportional, take .25, which is the percent for sleep, and multiply it by 360. That will give you your angle.

Answer 5

So 90 is your angle for sleep.

Answer 6

But i need the arc lengths, not the degree of the angles.

Answer 7

Wait, so for eating, would the angle be 36?

Answer 8

Yes!

Answer 9

oh okay, I think I get it now. Thank you!!! I was messing up on converting the percents into angle measurements before I plugged them into the equation to find the length of an arc.

Answer 10

Allright, need anything else?

Answer 11

Just to double check, the school angle would be 54, the excersize angle would be 18, and the free time angle would be 162, correct?

Answer 12

Yep.

Answer 13

So then use you protractor and then put then in the picture. DO you know how to turn the degrees in to the arc lengths?

Answer 14

Yeah, that part I'm good on, I was just stuck on the numbers to figure out the arc lengths. Thank you so much!

Answer 15

No problem! Now I just need someone to respond to my question... :/

Answer 16

Good luck! :)

Answer 17

I read it, I'd help if I knew it.