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Find the area of the shaded region in the figure.

$(4 \pi / 3)-\sqrt{3} \approx 2.46$

Precalculus

Algebra

Chapter 6

Trigonometric Functions: Right Triangle

Section 3

Trigonometric Functions of Angles

Trigonometry

An Introduction to Geometry

Functions

McMaster University

Harvey Mudd College

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

Find the area of the shade…

04:57

03:06

02:53

00:48

03:35

01:16

02:46

04:08

04:23

And that given figure is in this bigger. We have to find that 80 0 this shooter Did you which is green in color? And to find this area we will perceive like this way. First of all, we will find this area of sector which is red in color. I'm showing here, reading tele this video sector and subtract 80 of triangle from it. So it will give us any of that shit duty? No for finding 80 of sector. I'm going to solve it when red color So area sector is by, uh scared. He, uh 03 60. This is the formula for fine, fine area sector. The letters at us when this area No, we know that by is 22/7 the value price 22/7. The ideas here it is given to So our scare is too tends to details given one twenty's forever, right? 1 20 over here. And work 360. No, we will solve this thing if we can. Salo 1 23 60 We get three over here. No, that is multiple eight That top numbers If we multiply 22 by two with at 44 the symbol to play 44 by two. Again, we will get 80 it and three times seven is 21. So this is 80 Kate or 21. But if you told them, you will get for rent one night or way one day. So this is our radio sector. Now let us find idiot off Grindr. So 80 off triangle is et off triangle The idea Oh, drying good. This is equal. One have are scared. Signed Tito. This is the formula for calculating area of a triangle. It just seem as one have a b scientific data. But here A and B watery disorders are concerned there. Same. We write it as one by toe are scarce scientific. Now we will put all the values over here. This is one have radius is two. We were right toe times, two dimes, sign and T days 1 20 So we were like sign 12 and d Diggory's Now let us all this thing. We can cancel this tool with this too. This is equals to and sign 1 20 is scare Route three. What do game weekends of this stupid? This too. And we're left with scare you city and scary property equals 1.73 1.70. No, we have to find the appreciate your region. No, I'm going to put some weight and bring with the green color. So idea off shared religion that is required area This is equals to Idi of sector, which is war when 19 minus area Brendan which is 1.73 And when you subtract them, you will get 2.46 So the area worlds to my 6 80 of the shaded region 246 scare units.

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