EOC Review: Circles and Function Transformations

This video is an EOC review focusing on circles and function transformations. It covers the area and arc length of circles, providing formulas and examples. The video includes calculations for the area of a grass ring, arc length of a sector, and area of a sector using both degrees and radians. It also demonstrates how to find the radian measure from arc length.

What is the formula for the area of a sector of a circle?

• Degree measure divided by 360 times the area of the circle

• Degree measure divided by 180 times the circumference of the circle

• Degree measure divided by 180 times the area of the circle

• Degree measure divided by 360 times the circumference of the circle

How do you calculate the arc length of a circle in radians?

• S = R * Theta

• S = Theta / R

• S = R / Theta

• S = Theta * 2R

If the diameter of a garden inside a circle is 20 feet and the width of the grass ring is 5 feet, what is the radius of the entire circle?

• 10 feet

• 15 feet

• 20 feet

• 25 feet

How do you find the area of the grass ring?

• Multiply the area of the inside circle by the area of the whole circle

• Divide the area of the inside circle by the area of the whole circle

• Add the area of the inside circle to the area of the whole circle

• Subtract the area of the inside circle from the area of the whole circle

Given the circumference of a circle is 40π, what is the radius?

• 30

• 40

• 20

• 10

How do you calculate the arc length of a 95-degree sector if the circumference is 40π?

• 95/360 * 40π

• 95/180 * 20π

• 95/180 * 40π

• 95/360 * 20π

What is the radius of a circle if the equation is (x - 4)^2 + (y - 7)^2 = 121?

• 10

• 13

• 11

• 12

How do you find the area of an 80-degree sector if the radius is 11?

• 80/360 * π * 11^2

• 80/180 * π * 10^2

• 80/180 * π * 11^2

• 80/360 * π * 10^2

What is the approximate area of a sector with a 100-degree arc length of 5π?

• 50.3 square units

• 70.7 square units

• 40.2 square units

• 60.5 square units

What is the radian measure of an angle if the diameter of a circle is 8 cm and the arc length is 12 cm?

• 4 radians

• 5 radians

• 6 radians

• 3 radians