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24-05-2024
Mathematics

Answered

You know that the length s of the arc intercepted on a circle of radius r by an angle of rotation of Î¸ radians is s = rÎ¸. Find an expression for the area of the sector of the circle with radius r that has a central angle of Î¸ radians. Complete the explanation on your reasoning. Simplify your expressions. A full circle has an area of Ï€r². A full circle is 2Ï€ radians, so an angle of Î¸ radians is ____________ of the circle.

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