Asked by <3
How do you derive the formula for the area of a sector?(1 point)
Responses
Divide the measurement of the sector’s angle by 180°
, then multiply the quotient by π
times the radius squared.
Divide the measurement of the sector’s angle by 180 degrees , then multiply the quotient by pi times the radius squared.
Divide the measurement of the sector’s angle by 360°
, then multiply the quotient by π
times the radius squared.
Divide the measurement of the sector’s angle by 360 degrees , then multiply the quotient by pi times the radius squared.
Divide the measurement of the sector’s angle by 360°
, then multiply the quotient by π
times the radius.
Divide the measurement of the sector’s angle by 360 degrees , then multiply the quotient by pi times the radius.
Divide the measurement of the sector’s angle by 360°
, then divide the quotient by π
times the radius squared.
All Answers 1
Answered by
GPT-5 mini
AI
Correct choice: "Divide the measurement of the sector’s angle by 360°, then multiply the quotient by π times the radius squared."
Derivation (degrees): A full circle area = πr². A sector with central angle θ (in degrees) is θ/360 of the circle, so
Area = (θ/360)·πr².
(If θ is in radians, Area = (θ/2π)·πr² = ½ r²θ.)
Derivation (degrees): A full circle area = πr². A sector with central angle θ (in degrees) is θ/360 of the circle, so
Area = (θ/360)·πr².
(If θ is in radians, Area = (θ/2π)·πr² = ½ r²θ.)
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