Practice Set 6
10 Readiness Check Questions
This set focuses on steady accuracy across radians, midpoint and distance, arc length, sectors, scaling, trig ratios, and volume.
Practice Questions
Mixed Readiness Check: Geometry Review
Use this final set as a quick readiness check on circles, similarity, right triangle trig, coordinate geometry, and measurement models.
Question 1
Which radian measure represents a semicircle?
Desmos Move: A semicircle is half of a full turn, and a full turn is 2π radians.
Question 2
What is the circumference of a circle with radius 5 to the nearest tenth?
Desmos Move: Use C = 2πr, then round after multiplying by π.
Question 3
What is the midpoint of the segment joining (0, 8) and (6, 2)?
Desmos Move: Average the x-values and y-values separately.
Question 4
If two triangles have two pairs of equal angles, which similarity criterion applies?
Desmos Move: Two matching angles are enough to guarantee the same shape.
Question 5
A circle has radius 4 and central angle 2 radians. What is the arc length?
Desmos Move: Use s = rθ when the angle is measured in radians.
Question 6
If the linear scale factor of a similar figure is 4, what is the area scale factor?
Desmos Move: Area changes by the square of the linear scale factor.
Question 7
If you know the side opposite an angle and the side adjacent to it in a right triangle, which trig ratio is most direct to use?
Desmos Move: Use the ratio that compares opposite and adjacent directly.
Question 8
A cylinder has radius 2 and height 10. What is its volume to the nearest whole number?
Desmos Move: Use V = πr²h with radius 2, then round the result.
Question 9
Which tool is designed to find the straight-line distance between two points in the coordinate plane?
Desmos Move: Think about which formula is built from the Pythagorean Theorem.
Question 10
What is the area of a 90° sector in a circle with radius 6?
Desmos Move: A 90° sector is one fourth of the full circle area.