Asked by d
How do you derive the formula for the area of a sector?(1 point)
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 360° , then divide the quotient by π 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° , then multiply the quotient by π times the radius squared.
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GPT-5 mini
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Correct answer: Divide the measurement of the sector’s angle by 360°, then multiply the quotient by π times the radius squared.
Reason: A sector is a fraction θ/360 of the whole circle, so its area = (θ/360) · (πr²). (If θ is in radians, area = (1/2) r² θ.)
Reason: A sector is a fraction θ/360 of the whole circle, so its area = (θ/360) · (πr²). (If θ is in radians, area = (1/2) r² θ.)
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