mathematical-connection-the-sum-circumferences-of-circles-a-b-and-c-is-63pi-find-ac

Question

MATHEMATICAL CONNECTION The sum  circumferences of circles $A B,$ and $C$ is 63$\pi$ . Find AC.

Ali Soave · Accepted Answer

Let&#x27;s start off by finding these or conference of each of our circles. We&#x27;ll start with Circle a two times pi, which is three X times radius times pi is six x pi. The radius of circle B is x 02 times X Times Prize just to expedite, and the radius of circle C is five x 02 times five X times chi is equal to 10 x pipe. Adding, all of these circumference is together. We get a total circumference of 18 x pi, and we&#x27;re told that the circumference of all three circles is equal to 63 pipe. So let&#x27;s divide both sides by 18. Prime divide by 18 pie These cancel out, leaving us with just x pion pie. Cancel up and we get seven over to, which is equal to 3.5. So now, to find the length of a sea, let&#x27;s take both of these re I. It&#x27;s so this is a radius of three X. This is a radius of five x on Let&#x27;s replace X with 3.5 so three times 3.5 is, UH, 10.5 and five times 3.5 a 17.5. When we add all those together, we get 20 units

Ashley High · Answer

So in this circle, the radius is 1/2. So to find this your conference, I would do two times pi times 1/2 the two times 1/2 will cancel out toe one. So one pie just equals one. And then for the area you do pi r squared. Where are is 1/2 So 1/2 squared is 1/4 so pi times one for that leaves me pi over four. So the circumference equals pi in my area equals pi over four.

Yuou Sun · Answer

Okay. Problem 30. Just calculate, right. The first that should be two pie because are equal to a The radius is a and for poor peon, Percy, the timing here is a so that should be pie. Just calculate the 1st 1 R is a so called a square US hero. You see that? That&#x27;s off course from 0 to 2 pi. So that&#x27;s a to a a party. We cannot you to grow from 0 to 2 pi kiss when our cost 90 days less than zero. Uh, this they have no sense. So just from my o r minus pi or to buy over too, right? And this is a square cause I say that&#x27;s where and plus a square science center square. So that&#x27;s a pie, right? And the search term is just changed into bro from zero to pie. Because it makes no sense when science it is, uh, negative, which is set in hi to two pi, right? Just the same. So that&#x27;s also high, right

Carlos Pinilla · Answer

circle over is a These lengths they somebody&#x27;s, uh are is equal to a So we know that it&#x27;s things should be should be to buy them&#x27;s the radius That you say we&#x27;re going to use this formula. Um, computer the length our square plus yaar so well here, uh, offer should be equal to zero because you started the article zeroing in from zero up to Dubai. You see, the whole term Oh, uh, e r the era you got zero. So this part will be gone. Square is equal to a square, so we will be integrating from zero to do. Bye. The square root of faith squared, huh? It&#x27;s just a hands enter from zero to buy era, But people do. Good bye. Come see. So that is for the civil Now, we had, uh, a circle move. The foreigner. You have great equation, our physical tool, and has co sign fear us. So, uh, all these, uh, the circle Berries us how old they really use. So because they say so have the radius. There, he said was a sickle. I&#x27;m busy in a circle of constant use. 1/2 on these done is done by lady off gold from, um, zero. When they&#x27;re not my house, You have these You So that link should be it is your own pie because yeah, just going over there or from there to buy. Keep says the full circles on the double. You&#x27;re not gonna be that. Well, we have our squared, and that&#x27;s gonna be eight squared sine on the rd feta. Okay, a sign. Mine. A sign that, um, the Arnie Theater Square would be a squared sine square there. These in general should be we&#x27;ll be drivable are square plus the, uh he said, uh, squared. He&#x27;s gonna be dangerous. Come zero up by move it squared films co sign squared or square. Is that to us? A squared them sine squared. I said I would become factor become factor. Um, you seem to go unable to the injury from zero by. Oh, you don&#x27;t fuck around horrible things. Square that is multiplying. Co sign squared, plus Sinus squared with these number because he called one. He&#x27;s so the scene tribune. Oh, the vehicle to being to Rio. Oh, from zero to buy physical tool them instead of all of the meeting points here. So a damn spy from the well, you people too. Bye. I&#x27;m still times their use, which is a house on duh securely equivalently even harder. You got the curve given body are sign off era. All this should be a circle. It should be. You should be a circle are saying fiddle. Um are the sequel to okay, Yeah. Sign off there. So this is a circular has reviews. Hey, halves, But is this length here so well again, you do This holds their goodbye going from for fada between zero. Bye. So that, uh, for these various, uh, the lengths we should be computed from zero up to buy. Oh, well, arts were bloody are, huh squared? Yeah, that is the length of these curves. Eso Our square is equal to a squared sine squared gr This dinner is gonna be a square, A damn school sign. So these not it is gonna be, um, our course is cord them sign. It&#x27;s a word. This is in Dallas. Quartey&#x27;s a squared and school sign squared the there. So I began. We can father thirties. Well, okay. Score times. I&#x27;m sine squared. Plus or sign squirt. So this is, uh, This is one. So the movie will give a drill from zero up to buy off square in the face square. So they mamacita, which is just a spy. Nothing is the real disease. He hops that link there. A house these length is you Goto. Do you buy them a house? Which is, uh Is it burning there? Party was there, Only circle. Well, their circle is that which is, uh, which is the same us. What&#x27;s in there on what happens here is that, uh, no prize, ladies, so that the Land office twice

Ashley High · Answer

and this problem I diameter is 16 and the radius is half of that. So my radius equals eight. It&#x27;s a fund circumference. I would do two pi times eight, which leaves you with 16 pine. And then for the area, I would do Pie eight squared, which leads to a 64 pies. So my circumference is 16. Pie in my area is 64.

Raushan Kumar · Answer

we&#x27;re going to do problem number 37. Error and tradition. There is a given figure. The figure is off. Circular. It would be better if I dry here, Rita. So it winter Don&#x27;t say this is the circle. Okay, this is the circular nerds radius is given. Uh, let me just, uh royal serious. Also there. So this is the Santa and the reduces, given that articles 25 in just. Okay, so first of all, we have to find in a part, we have to find it. Syria. So area is ical stooped by a risk. Are we know. So why is there artist 5 to 5 eso We can write this Esther and to fight by. Okay, So this is the area which we have here is the exact area that is 25 pi on the unit will be into square. Okay, so yeah, this is into square. My right. This in the form off approx that it will be called to 70 food point fire and just quite Okay, so this will be the area now and be part we have to find this perimeter. We know. Perimeter logical. Stripped by our so happy will be considered to into bye. And areas are introduces. Five. So we will have This is turned by perimeter logical certain by. So this is approx value. This is the exact value. Sorry. This&#x27;d sort of been in chest. This should be in interest now to write it in approximately. We have two just multiplied with 3.14 So we will have 31.4 inches if you write it in a, uh, box value. So this is the answer. And these are the answers there, so thank you.

Problem

THOUGHT PROVOKING Is $\pi$ a rational number? Com…

Problem 39 Hard Difficulty

MATHEMATICAL CONNECTION The sum circumferences of circles $A B,$ and $C$ is 63$\pi$ . Find AC.

Answer

28

Related Courses

Geometry A Common Core Curriculum

Related Topics

Discussion

Top Geometry Educators

Christine G.

Heather Z.

Maria G.

Joseph L.

Geometry Courses

(A few) Circle Theorems

Angles and Cirlce Theorems with chords and tangents

Recommended Videos

Watch More Solved Questions in Chapter 11

Video Transcript

Ron Larson, Laurie Boswell

Geometry A Common Core Curriculum

Christine G.

Heather Z.

Maria G.

Joseph L.

(A few) Circle Theorems

Angles and Cirlce Theorems with chords and tangents

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

28

Geometry A Common Core Curriculum

Christine G.

Heather Z.

Maria G.

Joseph L.

(A few) Circle Theorems

Angles and Cirlce Theorems with chords and tangents

Ron Larson, Laurie BoswellGeometry A Common Core Curriculum

Christine G.

Heather Z.

Maria G.

Joseph L.

Ron Larson, Laurie Boswell

Geometry A Common Core Curriculum