Midterm Practice Part 2

Front

What is a co-terminal angle?

Back

Co-terminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360° (or 2π radians).

Front

How do you find a negative co-terminal angle for a given angle?

Back

To find a negative co-terminal angle, subtract 360° (or 2π radians) from the given angle until the result is negative.

Front

What is the negative co-terminal angle for 300°?

Back

-60°.

Front

How do you find a positive co-terminal angle for a given angle?

Back

To find a positive co-terminal angle, add 360° (or 2π radians) to the given angle until the result is positive.

Front

What is the positive co-terminal angle for 300°?

Back

660°.

Front

Back

Front

What is the formula for the area of a sector?

Back

The area of a sector is given by the formula: \( A = \frac{1}{2} r^2 \theta \), where \( r \) is the radius and \( \theta \) is the angle in radians.

Front

Calculate the area of a sector with a radius of 10 inches and an angle of 1 radian.

Back

The area is approximately 5 square inches.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, multiply the radian measure by \( \frac{180}{\pi} \).

Front

Back

315°.