Exploring Rational Expressions: Addition and Subtraction

The video tutorial covers reviewing homework answers, calculating circumference using diameter and radius, deriving the area formula for circles, exploring the relationship between a parallelogram and a circle, and practicing area calculations. Students are guided through examples and encouraged to fill in their notes and complete a Desmos activity.

What is the diameter of a circle if its radius is 8 cm?

• 12 cm

• 16 cm

• 8 cm

• 4 cm

Calculate the circumference of a circle with a diameter of 10 feet.

• 20 feet

• 62.8 feet

• 15.7 feet

• 31.4 feet

If the radius of a circle is 7 inches, what is its circumference?

• 14 inches

• 44.0 inches

• 21 inches

• 28 inches

How is the area of a circle calculated?

• 2πr

• πr²

• πd

• πr

What shape is formed when a circle is divided and rearranged?

• Square

• Parallelogram

• Triangle

• Rectangle

What is the relationship between the circle's circumference and the parallelogram's base?

• The same as the circumference

• Half the circumference

• Twice the diameter

• Equal to the radius

What is the area of a circle with a radius of 3 meters?

• 18 m²

• 12 m²

• 28.26 m²

• 9 m²

If the diameter of a circle is 10 cm, what is its area?

• 314 cm²

• 78.5 cm²

• 50 cm²

• 157 cm²

What is the area of a circle with a radius of 6 meters?

• 113.04 m²

• 18 m²

• 36 m²

• 72 m²

How do you find the radius if you know the diameter of the circle?

• Divide the diameter by π

• Multiply the diameter by 2

• Divide the diameter by 2

• Multiply the diameter by π