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

28

Geometry

Chapter 11

Circumference, Area, and Volume

Section 1

Circumference and Arc Length

Area and Perimeter

Surface Area

Volume

Circles

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Lectures

12:03

In mathematics, a theorem …

07:43

In mathematics, the tangen…

00:46

Use the indicated lengths …

01:30

Circumferences of circles …

09:03

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01:46

Find the (a) area and (b) …

02:12

01:14

00:21

Identify the quadrant in w…

00:35

The areas of two circles a…

Let's start off by finding these or conference of each of our circles. We'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're told that the circumference of all three circles is equal to 63 pipe. So let'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's take both of these re I. It's so this is a radius of three X. This is a radius of five x on Let'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

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If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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