Math  /  Geometry

QuestionA disc of radius 30 cm30 \mathrm{~cm} has supports 20 cm20 \mathrm{~cm} tall. Find: (a) AOB\angle A O B, (b) arc length ACBA C B, (c) area percentage above line ABA B.

Studdy Solution
Calculate the percentage of the area above the line AB.
PercentageofareaaboveAB=269.562827.431009.53%Percentage\, of\, area\, above\, AB = \frac{269.56}{2827.43} \cdot100 \approx9.53\%So, the angle AOB is approximately0.586 radians, the length of the arc ACB is approximately17.58 cm, and about9.53% of the disc's area lies above the line AB.

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