Free SAT Circles Practice Test

Master SAT circles so you don't get them spinning above your head in tests! Take a quick SAT practice test on Circles to level up your skills, tackle tougher problems, and discover your strengths.

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Try out these Circles practice questions

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Circles

The equation of circle C in the xy−plane is x2 −6x+y2+8y=11. Circle D has the same center as circle C. If the area of circle D is twice the area of C, which equation defines D?

A (x−3)2+(y+4)2=18 B (x+3)2+(y−4)2=18 C (x−3)2+(y+4)2=72 D (x+3)2+(y−4)2=72

The end-points of a diameter of a circle are (2,5) and (10,−1). What is the equation of the circle ?

A (x−6)2+(y−2)2=25 B (x−6)2+(y−2)2=100 C (x−6)2+(y−2)2=5 D (x+6)2+(y+2)2=25

What is the area of the sector OAB of a circle having angle 72o at the centre O and length of arc AB 6π?

A 25π B 30π C 36π D 45π

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How to solve questions from Circles?

Formula Application

Apply basic circle formulas for radius, diameter, circumference, and area systematically.

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Visual Strategy

Draw and mark up diagrams extensively, creating your own when none is provided.

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Coordinate Mastery

Master the standard circle equation (x-h)² + (y-k)² = r² for coordinate plane problems.

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Why Circles matter for SAT?

EdisonOS conducted a detailed Bluebook analysis to help tutors design SAT tests mirroring official Bluebook test challenges. Findings show Geometry & Trigonometry occupies the smallest portion of SAT Math, averaging 5 questions. Circles share 2-3 questions making this skill an essential in your study plan

I Need Detailed Analysis

Avoid These Common Mistakes In Circles!

Radius vs Diameter

Students confuse diameter and radius values when applying formulas

Formula Mix-ups

Students incorrectly substitute values into area versus circumference formulas

Diagram Neglect

Students skip drawing diagrams, missing visual connections between angles and arcs

Coordinate Confusion

Students misidentify center coordinates (h,k) in the standard circle equation.

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