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GRE
GRE Quantitative Reasoning Section

Area of a Sector in a Circle

Medium Geometry Circles

Consider a circle with a radius of 10 units. Two radii are drawn, creating an angle of 45 degrees between them. What is the area of the sector formed by these two radii?

Use the formula for the area of a sector:

$$ A = \f\frac{\theta}{360} \cdot \pi r^2 $$

where $\theta$ is the central angle in degrees and $r$ is the radius of the circle.

Hint

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