SAT Geometry (Standard)

Multi-step exam-style items.

Phase 2 · SAT Math

SAT Geometry: core idea

Circle

A=\pi r^2

C=2\pi r

A circle has area $49\pi$ . Find its radius.

Hint: Set $\pi r^2=49\pi$ . Answer: 7.

1. A trapezoid has bases $8$ and $14$ and height $5$ . Find its area.
2. Similar triangles have side ratio $3:5$ . If the smaller area is $27$ , find the larger area.
3. A rectangular prism measures $3$ by $4$ by $10$ . Find its surface area.
4. In a $30$ - $60$ - $90$ triangle, the short leg is $8$ . Find the hypotenuse.
5. Find the arc length of a $90^\circ$ sector of a circle with radius $8$ .
6. A regular polygon has exterior angle $24^\circ$ . How many sides does it have?
7. A cone has radius $3$ and height $12$ . Find its volume in terms of $\pi$ .
8. The diagonal of a square is $10\sqrt2$ . Find its side length.
9. Two chords intersect inside a circle. Their segment lengths are $3,8$ and $x,6$ . Find $x$ .