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Geometry of Circles - Sector Area - Equation to Radius and Angle (Level 1)

This math topic focuses on the geometry of circle sectors, specifically calculating sector areas and deducing the radius and sector angle from given area equations. The problems are intermediate-level, aimed at reinforcing the relationships between a circle's radius, the central angle, and the area of a sector. Each question provides an equation for the sector's area and requires solving for the possible values of radius and angle that satisfy the equation, with multiple-choice answers available.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Sector Area - Equation to Radius and Angle

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If the area of a sector of a circle is given by this equation, what is the radius of the circle and the sector angle?

π94\frac{\pi \cdot 9}{4}