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1 of 8 0-day streak

Exact circular-segment area and perimeter

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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A circle has radius 3 cm. Chord AB subtends the minor central angle 90° = (1/2)π radians. Find the area of the minor segment bounded by the chord and the minor arc

Circle centre O, radius 3 cm. Chord AB has minor central angle 90 degrees. The requested minor segment is bounded by chord AB and the minor arc AB. Dashed radii locate the central triangle. Not to scaler = 3OAB
Chord AB and dashed radii. Use the stated minor segment and central angle; not to scale
2 marks

Write the result as Aπ + B. Enter the exact rational coefficients A and B, including the sign of B. Units are cm²