Question 1: Calculate the radius of a circle with a diameter of 14 cm.

Answer: 7

Question 2: Construct a circle with a radius of 5 cm centered at a point C. Draw the circle on the grid.

Answer: Student draws circle with radius 5 cm around point C

Question 3: What is the length of the diameter of a circle with a radius of 8 cm?

Answer: 16

Question 4: Plot the graph of y = 2x on the grid. Draw a circle with radius 3 cm centered at the origin that intersects the line y=2x.

Answer: Student plots the line y=2x and circle, noting intersections

Question 5: If a circle has a radius of 6 cm and is centered at point P, what is the locus of points equidistant from P?

Answer: The locus is a circle with radius 6 cm centered at P

Question 6: Construct a circle that passes through the points (2,3), (6,3), and (4,7).

Answer: Student constructs the circle passing through all three points

Question 7: A circle has a circumference of 31.4 cm. Find its radius.

Answer: 5

Question 8: A student draws a circle with radius 4 cm. They mistakenly draw a diameter of 10 cm. Identify and correct the mistake.

Answer: The diameter should be 8 cm, not 10 cm

Question 9: Given the circle with center at O(0,0) and radius 7 cm, find the coordinates of a point on the circle directly above the center.

Answer: 0,7

Question 10: A circle is inscribed inside a square with side length 10 cm. Draw the circle and find its radius.

Answer: 5

Question 11: Challenge: Prove that the locus of points equidistant from a fixed point and a fixed line not passing through the point is a parabola.

Answer: Student explains the geometric locus forms a parabola based on equidistance properties