Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Standards: G-GPE.A.1 · Level: Grade 10 Geometry
Question 1 Write the Equation (2 points)
Write the equation of the circle with center (−4, 7) and radius 3√2.
Question 2 Read the Equation (2 points)
Find the center and radius of (x + 7)² + (y − 3)² = 50. Write the radius in simplest radical form.
Question 3 Circle from a Diameter (3 points)
A circle has a diameter with endpoints (−3, −5) and (9, 1). Write its equation.
Question 4 Complete the Square (3 points)
Rewrite x² + y² + 10x − 6y − 2 = 0 in standard form and give the center and radius.
Question 5 Inside or Outside (3 points)
Write the equation of the circle and classify each labeled point as inside, on or outside. (1 point for the equation, 1 point per two points classified)
Question 6 Radio Station Range (3 points)
On a map with 1 unit = 1 mile, a radio transmitter at (7, −2) broadcasts 9 miles in all directions. (a) Write the equation of the boundary of its range. (1 point) (b) Is a school at (1, 4) in range? (2 points)
Question 7 Tangent to Both Axes (2 points)
A circular logo with radius 9 centimeters sits in the upper-left corner of a grid, touching both the x-axis and the y-axis in the second quadrant. Write the equation of its edge.
Question 8 Read a Graph (2 points)
A pond appears on a map grid as shown. Give the equation of its shoreline.
