A community for students.
Here's the question you clicked on:
 0 viewing
nynic819
 one year ago
The circumference of a circle is 31.4 feet. What is the area of the circle? Explain how you found your answer.
nynic819
 one year ago
The circumference of a circle is 31.4 feet. What is the area of the circle? Explain how you found your answer.

This Question is Closed

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1First off you will need to know the formula for the area of a circle, which is A=pi*radius*radius. next you will need to know the formula for the circumfrence of a circle, which is 2*pi*r=Circ. You know that circumfrance is equal to 31.4 feet, so set that equal to the equation for circumfrence to find r. \[31.4 ft = 2*3.14*r\] because pi is equal to 3.14. Multiply 3.14 by 2 to get 6.28. 31.4 ft = 6.28*r divide 31.4 by 6.28 and you will get r. 5 ft = r. you will then take that information and put it into the equation to find the area: A=pi*r*r A=pi*5*5 can you figure out Area from there?

nynic819
 one year ago
Best ResponseYou've already chosen the best response.0no..I do not understand. Sorry

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1thats fine, the only i can help you more is if you tell me if you dont understand. Ok so you are looking for area, and the formula for the area of a circle is always: Area= pi*radius*radius. but you are given circumfrance. do you have it up until there?

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1ok, you are given the circumference of the circle, at 31.4 feet. The formula for the circumference of a circle is always C=2*pi*r. and you are given circumference, so set the equation to the value given to give you the formula: 31.4 feet = 2* pi * radius. Are we clear up until here?

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1ok, so we need to solve for radius because that is what we need for the equation of area. both 2 and pi are constants, so we can multiply pi by 2, and divide 31.4 feet by the product of 2 and pi, so the work will look like this: 31.4 feet = 2*pi*radius 31.4 feet = 6.28* radius (6.28 because has an accepted working value at 3.14) now divide 31.4 by 6.28 5= radius. Clear up until this point?

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1ok, so you now know that the formula for area is A=pi*radius*radius. Solve for area now that you solved for radius. Can you figure this out?

nynic819
 one year ago
Best ResponseYou've already chosen the best response.0pi *5*5 = 3.14 x 5 x 5 = 81 ?

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1not quite, you have the equation set up right, i would just punch that back into a calculator, because i am getting a number that is close to that, but not exactly

nynic819
 one year ago
Best ResponseYou've already chosen the best response.0Not using a calculator...lol

nynic819
 one year ago
Best ResponseYou've already chosen the best response.078.5 my mistake...lol

nynic819
 one year ago
Best ResponseYou've already chosen the best response.0So that is my answer? 78.5?

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1yes, the answer is 78.5

nynic819
 one year ago
Best ResponseYou've already chosen the best response.0and if I needed the diameter I would divide in half?

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1nope, diameter is two times the radius. so you would multiply by 2

dave0616
 one year ago
Best ResponseYou've already chosen the best response.1but the formulas do not use diameter, so if you are given diameter, you must divide diameter by 2 to get the radius. dont use diameter when you have to use radius

nynic819
 one year ago
Best ResponseYou've already chosen the best response.0ok. Thanks. That's helped alot. Have to go to bed now. Big test tomorrow. Wish me luck :) Have a great night :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.