This 5th grade lesson presents the terms radius, diameter, and circumference of a circle, and helps students learn to use a compass to draw circles and simple circle designs.
Circles






1. Draw a radius or a diameter from the given point. Use a ruler. Look at the example.







2. Learn to use a compass to draw circles.
a. Draw many circles with the compass.
b.
Now, set the radius on the compass to be 3 cm, and draw a circle.
You can do that by placing the
compass next to a ruler, and adjusting
the radius of the compass until it is
3 cm as measured by the ruler.
Some compasses show the radius for
you, so you won't need a ruler.
c. Draw a circle with a radius of 5 cm.
d. Draw a circle with a radius of 1 ½ in.
3. a. Draw two
diagonals into this square. Draw a point b. Draw a circle around
the square so that it touches c. Fill in: The _____________________ of the circle 
4. a. Draw a circle inside
this square so that it touches b. Fill in: The _____________________ of the square You can repeat or practice exercises #3 and
#4 in 
5. a. Draw a
circle with center point (5, 6) b.
Draw another circle with the same center

6. Draw these figures using a compass and a ruler
only in your notebook. The copies you draw do
not have to be the same exact size as here; they just need to show the same pattern.
See hints at
the bottom of this page. Optionally, you can also draw these in drawing
software.
a.
b.
c.
d.
See
https://homeschoolmath.blogspot.com/2013/02/geometricartprojectsevencircle.html
for one more circle design / art project!
a. Hint: Draw a line. Then, draw the three center points on it, equally spaced.
b. Hint: First, draw the three center
points for the three circles, equally spaced.
What is the radius of the
big circle compared to the radius of the small ones?
c. Hint: What pattern is there in the radii of these circles? These circles are called concentric circles because they share the same center point.
d. Hint: You need to draw the outer
square first. Then measure and divide it into quarters. Measure
to draw the center points of the circles (they are
midpoints of the sides of the smaller squares).
This lesson is taken from Maria Miller's book Math Mammoth Geometry 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.
Math Mammoth Geometry 1
A selfteaching worktext for 4th5th grade that covers angles, triangles, quadrilaterals, cirlce, symmetry, perimeter, area, and volume. Lots of drawing exercises!
Download ($6.90). Also available as a printed copy.