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In Exercises $3-10,$ Find the indicated measure.(See Examples 1 and 2 .)radius og $\odot R$

$r \approx 6.2 \mathrm{cm}$

Geometry

Chapter 11

Circumference, Area, and Volume

Section 1

Circumference and Arc Length

Area and Perimeter

Surface Area

Volume

Circles

Missouri State University

University of Michigan - Ann Arbor

University of Nottingham

Utica College

Lectures

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Okay, this is problem number 10 and we're going to try and find the radius. A circle are what we know is the are quaint of l m of Arc. Elham is 38 0.95 centimeters and we know that the major of Arc Elem is 260 degrees And we know that the formula of the arc length of arc LM will equal the measure of arc lm all over 360 degrees times two pi r So we know they are. Klink, this 38 0.95 we know the measure is 262 groupies over 360 multiplied by two pi r Yeah, so we can, um, simplify this a little bit and that's gonna be 38.95. We're gonna take the two pi times 2 to 6 CSI and then divide by the 360 simplifying that so it's gonna end up being 13 over nine pi r. So now we can take and we can multiply both sides by the nine and then divide by the 13 pie and that's gonna equal r r. When you go ahead and do the calculation of that, you're gonna end up with the radius is going to equal 8.58 centimeters

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