REVIEW for BENCHMARK 12.16.24

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

What is the sine function?

Back

The sine function, denoted as sin(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the opposite side to the hypotenuse in a right triangle.

Front

How do you find the measure of a missing angle in a triangle?

Back

To find the measure of a missing angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula A = πr², where r is the radius.

Front

What is the cosine function?

Back

The cosine function, denoted as cos(θ), is a trigonometric function that relates the angle θ to the ratio of the length of the adjacent side to the hypotenuse in a right triangle.

Front

What is the relationship between sine and cosine?

Back

The relationship between sine and cosine is given by the identity sin²(θ) + cos²(θ) = 1.

Front

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

Back

The length of an arc can be calculated using the formula L = rθ, where r is the radius and θ is the angle in radians.

Front

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

Back

The area of a sector is given by the formula A = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

What is the definition of a radian?

Back

A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².