### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Area of circle explaination MTH 225 Cr.4

UW - L

### View Full Document

## About this Document

## 9

## 0

## Popular in Logic and Discrete Mathematics

## Popular in Math

This 2 page Class Notes was uploaded by Jessica Kuglitsch on Sunday October 16, 2016. The Class Notes belongs to MTH 225 Cr.4 at University of Wisconsin - La Crosse taught by Dr. Allen in Fall 2016. Since its upload, it has received 9 views. For similar materials see Logic and Discrete Mathematics in Math at University of Wisconsin - La Crosse.

## Similar to MTH 225 Cr.4 at UW - L

## Popular in Math

## Reviews for Area of circle explaination

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/16/16

Area of a Circle- Write-up 1 kuglitsc.jessica January 2016 We start with a picture of a circle and draw the diameter, slicing the circle in half. Ultimately resulting in two semicircles, which then can be cut in half again which give you triangular shapes. As the triangles are sliced in half continuously, it results in smaller and smaller triangles. This also means that when we cut the circle in half we cut straight 180 degrees, when we sliced the two parts in half again that resulted in 90 degree angles, then 45 degrees and so on. This process continues and angles along with the size of the triangles continue to get smaller as the number of triangles increases. Essentially, you can continue to split the parts of the circle in half an in▯nite amount of times, giving you a total of n isosceles triangles. The more sections that the circle is split into the more accurate the answer will be for the area of the circle. So to summarize, we start with a circle, then two parts, then 4, 8, 16, and so on. If we line these parts up to form a parallelogram, they would make a rectangle. However, in order for this to happen, the pieces would need to be cut in half many times. Now that we have a parallelogram that is basically a rectangle, we must calculate the area of the parts of the circle we put together to form this parallelogram. So we know that the circumference of the circle can be calculated by using the formula C = 2(pi)(r). The height of the parallelogram is the radius of the circle we originally started, in other words h = r. In addition, since we know that C = 2(pi)(r) and considering the fact that we continually split parts of the circle in half to form the parallelogram, we can conclude that half of the distance covers the top of the parallelogram and the other half covers the bottom of the ▯gure. In other words, b = 2(pi)(ror simply b = (pi)(r). 2 Considering all that has been said in previous paragraphs, we can now use the area formula A = (b)(h) and plug in the information we have acquired. I used this equation due to the fact the beginning ▯gure was a circle. I took the circle, divided it in half, and then divided those parts in half and so on. The parts became so small that when put together they formed a rectangle as the parallelogram. Ultimately, I concluded that the area of a circle is equivalent to the area of a rectangle, so A = (b)(h) A = (b)(h) A = ((pi)(r))(r) A = (pi)(r ) 1 So everything from above goes further to explain how Archimedes calculated the information related to the area of a circle. 2

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.