SAT MAth Practice questions – all topics
- Geometry and Trigonometry Weightage: 15% Questions: 5-7
- Area and volume
- Lines, angles, and triangles
- Right triangles and trigonometry
- Circles
SAT MAth and English – full syllabus practice tests
Question Foundation
In the xy-plane, a circle with radius 2 has center \((0,0)\). Which of the following is a equation of the circle?
A) \(x^2+y^2=2\)
B) \(x^2+y^2=4\)
C) \(x^2-y^2=2\)
D) \(x^2-y^2=4\)
▶️Answer/Explanation
Ans:B
The general equation of a circle with center \((h, k)\) and radius \(r\) is:
\[
(x – h)^2 + (y – k)^2 = r^2
\]
Center \((0,0)\)
Radius \(2\)
Substitute these values into the equation:
\[
(x – 0)^2 + (y – 0)^2 = 2^2
\]
Simplify:
\[
x^2 + y^2 = 4
\]
Question
\(x\)2-6\(x\)+\(y\)2-8\(y\)=0
The graph of the given equation in the \(xy\)-plane is a circle. What is the radius of the circle?
- 2
- 3
- 4
- 5
Answer/Explanation
Ans: D
Question
In the \(xy\)-plane, a circle with radius 2 has center (0,0). Which of the following is a equation of the circle?
- \(x\)2+\(y\)2=2
- \(x\)2+\(y\)2=4
- \(x\)2-\(y\)2=2
- \(x\)2-\(y\)2=4
Answer/Explanation
Ans: B
Question
In the \(xy\)-plane, the points (-3, 10) and (3, 10) are endpoints of the diameter of a circle. Which equation represents this circle?
- \(x\)2+(\(y\)-10)2=9
- (\(x\)+3)2+\(y\)2=36
- (\(x\)+3)2+(\(y\)-10)2=9
- (\(x\)+3)2+(\(y\)-10)2=36
Answer/Explanation
Ans: A
Question
\((x + 3)^{2} + (y – 7)^{2} = 100\)
In the \(xy\)-plane, the graph of the given equation is a circle. Which point \((x, y)\) lies on the circle?
- (3, -4)
- (3, -1)
- (3, 1)
- (3, 4)
Answer/Explanation
Ans: B