A circle in the $xy$-plane has the equation $(x-14)^{2}+(y-k)^{2}=36$. Which of the following gives the center of the circle and its radius?

The center is at $(14, k)$ and the radius is 6.

The center is at $(k, 14)$ and the radius is 6.

The center is at $(k, 14)$ and the radius is 36.

The center is at $(14, k)$ and the radius is 36.

Math · Geometry and Trigonometry

Circles

Circle equations, arcs, sectors, inscribed angles, and tangent lines.

What the SAT Tests

Digital SAT circle questions include the equation of a circle in the coordinate plane, arc length and sector area in radians, and inscribed-angle relationships.

Key Tips for Circles

The equation (x−h)² + (y−k)² = r² gives center and radius directly.
Complete the square to convert a general circle equation into center-radius form.
Arc length = rθ and sector area = ½r²θ, both with θ in radians.

Sample Circles Questions

These are real practice questions pulled from our Digital SAT bank. Try each one before reading the highlighted correct answer.

Question 1 · Easy
A circle has a radius of $19$ meters. What is the area, in square meters, of the circle?
- A. $\frac{19 π}{2}$
- B. $\frac{19 π}{1}$
- C. $\frac{38 π}{1}$
- D. $\frac{361 π}{1}$ Correct
Question 2 · Easy
Circle T has a radius of 35 millimeters (mm). What is the area of circle T, in $mm^{2}$ ?
- A. $35 π$
- B. $70 π$
- C. $140 π$
- D. $1, 225 π$ Correct
Question 3 · Easy
A circle in the $x y$ -plane has the equation $(x - 14)^{2} + (y - k)^{2} = 36$ . Which of the following gives the center of the circle and its radius?
- A. The center is at $(14, k)$ and the radius is 6.Correct
- B. The center is at $(k, 14)$ and the radius is 6.
- C. The center is at $(k, 14)$ and the radius is 36.
- D. The center is at $(14, k)$ and the radius is 36.

Practice Circles Questions

Drill circles questions in the Digital SAT Math question bank, or take a full-length practice module to see how this skill appears under test conditions.

FAQs

What is Circles on the Digital SAT?

Digital SAT circle questions include the equation of a circle in the coordinate plane, arc length and sector area in radians, and inscribed-angle relationships.

How hard are circles questions?

Circles questions appear at every difficulty level on the Digital SAT Math section. The hardest versions gate access to the top scaled scores in the hard Module 2.

How do I practice circles?

Use the 1600.now question bank to filter for circles questions, solve at least 20 in a row, and review every miss with the written explanation.

Related Math Skills

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