Question

Find the area.

Answer 1

area of that shaded region?

Answer 2

Yes

Answer 3

Hmm they didn't give the angle did they..

Answer 4

i found the angle, check the attachement now, i updated.

Answer 5

Hm Area of that sector = (1/2)r^2(theta) = (1/2)*25*1.85 = 23.125

Answer 6

Do they give the perimeter or any other info for the rectangle?

Answer 7

No. this is all i have.
in the first part they asked for angle. ANd in second part SR

Answer 8

Wait a sec.. what's SR?

Answer 9

SR = Shaded Region.

Answer 10

ohh ok..

Answer 11

Ohh that's it then

Answer 12

wait a second.. that's not it.. hmmm lol tricky

Answer 13

Okay find the area of the rectangle, which is 16. Now the area of the two right triangles.

Answer 14

Now we can find the area of triangle - area of 2

Answer 15

Area of one of the triangles is (1/2)*3*4 = 6, and there are two of them, so the total area is 12.

Answer 16

And the total area of the weird looking figure is 16+12=28

Answer 17

\[\frac12 (2)(4) - \frac12(0.925 - \sin (0.925))\]

Answer 18

Now subtract the area of the sector:
28 - 23.125, and divide by 2.

Answer 19

SR = 2.4375

Answer 20

2.4375 sq cm

Answer 21

That's correct.

Answer 22

Required Area= (Area of the figure- Area of sector)/2
=(area of triangle+ area of rectangle- 1.85 *r^2)/2

Answer 23

2.44cm^2

Answer 24

Getting the area of the triangles is easy. one half base times height.