ISEE Middle Level
Quantitative Reasoning

Comparison of Circle and Sector Areas

Medium Quantitative Comparisons Geometry Comparisons

Consider two shapes:

Shape A is a circle with a radius of 7 cm.

Shape B is a sector of a circle with a radius of 7 cm and a central angle of 60 degrees.

Determine the area of each shape and compare them. The formula for the area of a circle is given by:

$$A = \pi r^2$$

For the sector of a circle, the area is given by:

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

Hint

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