Polar equations and their graphs
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
Milo sketches the rose r = 3 sin 4θ on polar graph paper. How many petals does it have?
Pia sketches the rose r = 2 cos 6θ on polar graph paper. How many petals does it have?
Tala sketches the rose r = 7 sin 5θ on polar graph paper. How many petals does it have?
A microphone picks up sound in the cardioid pattern r = 5 + 5 cos θ, in meters. Zee reads the polar graph. What is the largest value of r?
A garden light shines in the pattern r = 4 + 6 sin θ, in meters. Jun reads the polar graph. What is the largest value of r?
A speaker sends sound in the pattern r = 6 − 2 cos θ, in meters. Kira reads the polar graph. What is the largest value of r?
Luz sees the polar graph shown. Which equation matches the graph?
- r = 6 cos θ
- r = -6 sin θ
- r = 6 sin θ
- r = 3 sin θ
Milo sees the polar graph shown. Which equation matches the graph?
- r = 8 cos θ
- r = -4 cos θ
- r = -8 cos θ
- r = -8 sin θ
Noah sees the polar graph shown. Which equation matches the graph?
- r = 3 + 3 sin θ
- r = 3 + 3 cos θ
- r = 6 + 6 sin θ
- r = 3 − 3 sin θ
Pia sees the polar graph shown. Which equation matches the graph?
- r = 2 + 2 cos θ
- r = 4 − 4 cos θ
- r = 2 − 2 sin θ
- r = 2 − 2 cos θ