In the diagram, A is a point on the circumference of a circle with center O and radius r. A circular are with center A meets the circumference at B and C. The angle O A B is theta radians. The shaded region is bounded by the circumference of the circle and the are with center A joining B and C. The area of the shaded region is equal to half the area of the circle.

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03-12-2022
Mathematics

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In the diagram, A is a point on the circumference of a circle with center O and radius r. A circular are with center A meets the circumference at B and C. The angle O A B is theta radians. The shaded region is bounded by the circumference of the circle and the are with center A joining B and C. The area of the shaded region is equal to half the area of the circle.

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