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SAT Math · ~15% of Math (5–7 questions)

SAT Geometry & Trigonometry

Circles, triangles, volume, and right-triangle trigonometry.

Quick Definition & Overview

SAT Geometry & Trigonometry accounts for ~15% of Math (5 to 7 questions). It tests circle equations, arc lengths, similar triangles, volume formulas, and right-triangle trigonometry (SOH-CAH-TOA).

Geometry and Trigonometry covers Euclidean geometry, coordinate circles, right triangles, and basic trigonometric identities like the complementary angle identity sin(x) = cos(90° - x).

Interactive Test Sample · Question 1 of 1
SAT Geometry & Trigonometry

In a right triangle, sin(3x - 10)° = cos(x + 20)°. What is the value of x?

Core Rules & Common Traps

Rule / ConceptHow It's TestedThe Trap to Avoid
Circle Equation & Center(x - h)² + (y - k)² = r² has center at (h, k) and radius r = √constant.Forgetting to take the square root of the right side to get radius r.
Complementary Angle Identitysin(x°) = cos(90° - x°) for acute angles in a right triangle.Failing to equate the two acute angle expressions when sin(A) = cos(B).

What this domain covers

Circle equations: (x - h)² + (y - k)² = r²
Circle properties: arc length, sector area, radians
Right triangles, Pythagorean theorem, and 30-60-90 / 45-45-90 triangles
Trigonometric ratios: sin, cos, tan and complementary angle identities
Volume and surface area of cylinders, cones, spheres, and prisms

Strategy that actually works

1If given an expanded circle equation like x² + y² + 6x - 8y = 0, complete the square for both x and y.
2Remember the complementary angle rule: if sin(A) = cos(B), then A + B = 90°.

Frequently asked questions

Are geometry formulas provided on the Digital SAT?

Yes, basic geometric formulas (area, volume, Pythagorean theorem, special right triangles) are available in the built-in Reference Sheet during the exam.

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