Station #1: 7.1 – Circumference and Arc Length
1. Give the two formulas used for circumference.
2. A circle has a circumference of 7π. What is its radius?
3. A circle has a diameter of 14. What is its circumference? (Leave your answer in terms of π.)
̂ = 62° and the radius is
4. Draw a circle and label the center O and label two points on the circle G and H. If 𝑚𝐺𝐻
̂.
6, find the length of 𝐺𝐻
Station #2: 7.2 – Areas of Circles and Sectors
1. What is the formula for the area of a circle?
2. A circle has an area of 7π. What is its radius?
3. A circle has a diameter of 14. What is its area? (Leave your answer in terms of π.)
4. Find the area of the shaded region.
Station #3: 7.3 – Tangent Lines
1. Draw a line that is tangent to the circle.
2. Write the rest of the theorem: If a line is tangent to the circle, then…
3. Assume lines that look to be tangent are tangent. Find the value of x.
a.
B.
Station #4: 7.4 Day 1: Angle Relationships with Inscribed Angles (and Central Angles)
1. Draw a chord and name it.
2. Draw an inscribed angle and name it.
3. Draw an intercepted arc and name it.
4. Draw a central angle and name it.
5. Fill in the theorem: If an angle has its vertex at the center of a circle, then the measure of the angle is
_________________________________.
6. Fill in the theorem: If an angle has its vertex on the circle, then the measure of the angle is
_________________________________.
7. Find 𝑚∠1.
8.
9.
Station #5: 7.4 Day 2: Other Angle Relationships
1. Draw a secant and name it.
2. Fill in the theorem: If an angle has its vertex inside the circle, then the measure of the angle is
_________________________________.
3. Fill in the theorem: If an angle has its vertex outside the circle, then the measure of the angle is
_________________________________.
4. Find 𝑚∠1.
5. Find x.
6. Find x.
Station #5: 7.4 Day 2: Other Angle Relationships
1. Draw a secant and name it.
2. Fill in the theorem: If an angle has its vertex inside the circle, then the measure of the angle is
_________________________________.
3. Fill in the theorem: If an angle has its vertex outside the circle, then the measure of the angle is
_________________________________.
4. Find 𝑚∠1.
5. Find x.
6. Find x.