SAT/ACT Prep Practice Problems

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A Geometry Problem for SAT/ACT/PSAT Prep. (Medium). Target Time. 15-30 seconds/part.

The figure below shows a sector of radius R and Central angle of X deg.

1. If the radius is doubled and the central angle is halved, by what % the area of the sector will increase or decrease?

2. If the central angle is doubled and the radius is halved, by what % the area of the sector will increase or decrease.

3. What is the perimeter and area of the sector in terms of R and X?

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