kevthedood420
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

I NEED THIS ASAP ( Look at the picture).

I NEED THIS ASAP Look At The Picture class=

Sagot :

coolstick

Answer:

r ≈ 4

Step-by-step explanation:

circle = 360 degrees

360 / 90 = 4

let's call the area of triangle XYZ + the shaded area portion A

because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area

total area of circle = πr²

XY = YZ = radius

thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)

thus, area of triangle XYZ = r*r/2 = r²/2

area A = r²/2 + 4.64

4 * A = total area of circle

4(r²/2+4.64) = πr²

2r²+18.56 = πr²

subtract 2r² from both sides to put all the variables on one side

(π-2)r² = 18.56

divide both sides by (π-2) to isolate r²

18.56/(π-2) = r² ≈ 16.258

r ≈ 4.032 ≈ 4

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.