in-exercises-3-10-find-the-indicated-measure-see-examples-1-and-2-mathrmmde

Question

In Exercises $3-10,$ Find the indicated measure.
(See Examples 1 and 2 .)
$\mathrm{mDE}$

Georgiann Andersen · Accepted Answer

Hey, this this problem eight. And we need to find the measure of Arc D e e. What we know is we know that the arc length of Arc de E is equal to 8.73 inches. We know that the radius is 10 inches, and we know that we have a formula that says the Ark Link uh D E e will be equal to the measure of Arc de over 360 degrees times two pi r. So knowing that we have the information that we have, we can substitute in this information. So the arc length of D E is 8.73 inches. We don&#x27;t know the measure of d E the Art D. That&#x27;s what we&#x27;re trying to find. No. And we know that our radius is 10. So now we can go ahead and start solving this. We can multiply both sides by 360. So we&#x27;re gonna have 8 73 times 3 60 and we can divide both sides by 20 pie. And that is gonna leave us with the measure of Arc de e. So when we calculate this out, turns out it&#x27;s going to be 50.2 degrees equals the measure of Arc de e

Georgiann Andersen · Answer

Okay, this is problem number 10 and we&#x27;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&#x27;s gonna be 38.95. We&#x27;re gonna take the two pi times 2 to 6 CSI and then divide by the 360 simplifying that so it&#x27;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&#x27;s gonna equal r r. When you go ahead and do the calculation of that, you&#x27;re gonna end up with the radius is going to equal 8.58 centimeters

Ali Soave · Answer

we&#x27;re told that angle you is equal to 30 which means that it&#x27;s a corresponding mark would be double that size. So this would be 60 degrees. And we also know that this is the diameter of the circle. So the ark that is around the diameter is equal to 180. So if this part is 60 then vur convene. You must be equal to 120 degrees.

Martha Richards · Answer

So this diagram here were given were asked to find the measurement of the Ark. W x So we&#x27;re asked to find this area, Uh, this ark right here from W two X. And so what we know is is that a circle is gonna be 360 total degrees. We&#x27;ve got one arc segment here, and we can find this other arcs that meant by using the measure of an inscribed angle here. Um, so we know that the measurement of this angle why acts w angle? Why x w is equal to 1/2 the measurement of the ark wide of you. So we&#x27;re gonna solve for this guy here this arc of y w. And because we have this value here, so we have 75 degrees is equal to 1/2 of this wide, dumb you arc, multiply both sides by two. And I get that measurement of why w is equal to 1 50 So now we have this part here. Now we confined this because the total here has got to be 360. So we have 3 60 minus 1 50 minus 1 10 and that gives us 100 degree. So this measurement of W X is 100 degrees

Martha Richards · Answer

Okay, so we&#x27;re giving this diagram here and were asked to find the measurement off the Ark R s. And so again, we&#x27;re going to use the measure of a kn inscribed angle. The&#x27;re, um and that just states that this angle here, the measurement of this angle are que es is equal to 1/2 the measurement of the ark are Who&#x27;s that? Doesn&#x27;t look great of our s. So here we have this information this time. So we&#x27;re gonna put that 67 degrees and and then we have 1/2 of the measurement of our s. So we just multiply both sides by two for 1 34 is equal to the measurement of our ass here. So that&#x27;s this. Just double this angle here.

Ali Soave · Answer

to find the ark length of R A B. We want to know what portion of the total 360 degree circle this art takes up. And we know that the angle of this artist 45 degrees. So let&#x27;s set up a fraction. We want 45 out of 360 of the circle and we want the circumference of the circle because we want to know the Ark link. The circumference of the circle is gonna be the diameter, which is eight times pi So 45 over 360 that simplifies chilled one over eight. And if you multiply that times a pie, the eight and the eight cancel out. And so this is just pie, So pi, or about 3.14 would be the length of this.

Problem

In Exercises $3-10,$ Find the indicated measure. …

Problem 8 Easy Difficulty

In Exercises $3-10,$ Find the indicated measure.
(See Examples 1 and 2 .)
$\mathrm{mDE}$

Answer

$\widehat{D E}=50^{\circ}$

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Ron Larson, Laurie Boswell

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$\widehat{D E}=50^{\circ}$

Geometry A Common Core Curriculum

Catherine R.

Christine G.

Samuel H.

Joseph L.

(A few) Circle Theorems

Angles and Cirlce Theorems with chords and tangents

Ron Larson, Laurie BoswellGeometry A Common Core Curriculum

Catherine R.

Christine G.

Samuel H.

Joseph L.

Ron Larson, Laurie Boswell

Geometry A Common Core Curriculum