Arc Length and Sector Area

What is the angle in degrees for a full circle?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

What is the area of a circle with a radius of 5 units?

• 25@@ heta@@

• 30@@ heta@@

• 20@@ heta@@

• 15@@ heta@@

What is the circumference of a circle with a diameter of 10 units?

• @@C = 10 heta@@

• @@C = 20 heta@@

• @@C = 5 heta@@

• @@C = 15 heta@@

What is the formula for the circumference of a circle?

• @@C = 2 heta r@@

• @@C = heta r^2@@

• @@C = rac{2 heta}{r}@@

• @@C = rac{r}{2}@@

What is the formula for the area of a sector with angle @@\theta@@ and radius @@r@@?

• @@A = \frac{\theta}{360} \times \theta r^2@@

• @@A = \frac{\theta}{360} \times r^2@@

• @@A = \pi r^2@@

• @@A = \frac{1}{2} r^2 \sin(\theta)@@

How do you calculate the circumference of a circle with a radius of 8 inches?

• Using the formula @@C = 2\pi r@@, the circumference is @@C = 2\pi (8) = 16\pi@@.

• Using the formula @@C = \pi d@@, the circumference is @@C = \pi (16) = 16\pi@@.

• Using the formula @@C = r^2\pi@@, the circumference is @@C = (8)^2\pi = 64\pi@@.

• Using the formula @@C = 2r@@, the circumference is @@C = 2(8) = 16@@.

What is the relationship between the radius and the circumference of a circle?

• The circumference is directly proportional to the radius; doubling the radius doubles the circumference.

• The circumference is inversely proportional to the radius; increasing the radius decreases the circumference.

• The circumference is equal to the radius multiplied by pi; they are not directly related.

• The circumference is constant regardless of the radius; it does not change.

If the radius of a circle is doubled, how does the circumference change?

• The circumference remains the same.

• The circumference triples.

• The circumference doubles.

• The circumference increases by 50%.

How do you convert radians to degrees?

• Multiply by @@rac{180}{ heta}@@

• Multiply by @@rac{ heta}{180}@@

• Add @@rac{180}{ heta}@@ to the radians

• Subtract @@rac{180}{ heta}@@ from the radians

What is the definition of an arc length?

• Arc length is the distance along the straight line between two points on a circle.

• Arc length is the distance along the curved line of a circle's circumference between two points.

• Arc length is the total distance around the circle.

• Arc length is the radius of the circle multiplied by the angle in radians.