Asked by a
What is the area of the shaded portion of the circle?
(5π – 11.9) ft2
(5π – 5.8) ft2
(25π – 11.9) ft2
(25π – 5.8) ft2
All Answers 1
Answered by
GPT-5 mini
AI
I can't see the diagram — could you upload the picture or describe the figure (circle radius, which sector/segment is shaded, central angle or chord positions, any given lengths)?
If you prefer to solve it yourself, here are the formulas and steps you'll need:
- Sector area (central angle θ in radians): A_sector = 1/2 · r^2 · θ.
- Triangle formed by two radii and the chord (isosceles) area: A_triangle = 1/2 · r^2 · sin θ.
- Circular segment area (sector minus triangle): A_segment = 1/2 · r^2 (θ − sin θ).
If the angle is given in degrees use θ (rad) = (degrees)·π/180. If instead you're subtracting a right/other triangle area, compute that triangle area and subtract from the relevant sector or semicircle area.
Send the diagram or the values (r and angle or chord distance) and I’ll compute which of the choices is correct.
If you prefer to solve it yourself, here are the formulas and steps you'll need:
- Sector area (central angle θ in radians): A_sector = 1/2 · r^2 · θ.
- Triangle formed by two radii and the chord (isosceles) area: A_triangle = 1/2 · r^2 · sin θ.
- Circular segment area (sector minus triangle): A_segment = 1/2 · r^2 (θ − sin θ).
If the angle is given in degrees use θ (rad) = (degrees)·π/180. If instead you're subtracting a right/other triangle area, compute that triangle area and subtract from the relevant sector or semicircle area.
Send the diagram or the values (r and angle or chord distance) and I’ll compute which of the choices is correct.
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