furrygirl123
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In the figure below, ABO and GOF are right triangles. How would you represent the area of the shaded region?
1. r^2 (π-1)
2. r^2 (π+1)
2. r^2 (π-1/2)
3. r^2 (1-π)

In the figure below ABO and GOF are right triangles How would you represent the area of the shaded region 1 r2 π1 2 r2 π1 2 r2 π12 3 r2 1π class=

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Answer:

option 1

Step-by-step explanation:

The shaded area is area of circle - area of 2 congruent triangles

area of circle = πr²

Note that the base and height of both triangles is the radius

Area o triangle = [tex]\frac{1}{2}[/tex] ×  r × r = [tex]\frac{1}{2}[/tex]r²

area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × r² = r²

area of shaded region = πr² - r² = r²(π - 1) → (1)

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