Geometry and TrigonometryVery hardHighest point of a circle tangent to the x-axis
Geometry and Trigonometry practice question
In the xy-plane, a circle with centre (3, 4) is tangent to the x-axis. What is the y-coordinate of the highest point on the circle?
Answer: 8
Tangent to the x-axis means the radius equals the centre's distance from that axis, 4. The highest point is 4 above the centre, at y = 8.
Common wrong answers
- If you answered 0
- 0 is the point of tangency.
- If you answered 4
- 4 is the centre's y-coordinate, or the radius.
- If you answered 7
- 7 adds the centre's x-coordinate to the radius.
More Geometry and Trigonometry questions
- Very hard
Two parallel lines are cut by a transversal. One of the eight angles measures 47°. Which of the following is N… - Very hard
In a right triangle, angles A and B are the two acute angles, so A + B = 90°. If sin A = 0.6, what is the valu… - Very hard
A regular hexagon has a side length of 4. What is its area? (A regular hexagon of side s has area (3√3/2)s².) - Very hard
A cone has a radius of 6 and a height of 10. What is its volume? (Use V = (1/3)πr²h.) - Very hard
In the xy-plane, the graph of x² + y² − 12x − 4y + 15 = 0 is a circle. The line 3x − 4y = 25 intersects this c… - Very hard
What is the perimeter of triangle ABC?
Not affiliated with the College Board. SAT is a trademark of the College Board.