Math 3 EOC Review

Front

What is the formula for arc length in a circle?

Back

Arc Length = r * θ, where r is the radius and θ is the angle in radians.

Front

What is the definition of an experiment in statistics?

Back

An experiment is a study in which the researcher manipulates one or more variables to observe the effect on another variable.

Front

What shape is formed when a cylinder is sliced parallel to its base?

Back

A circle.

Front

What is the standard form of a circle's equation?

Back

The standard form is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

How do you find the center and radius of a circle from its equation?

Back

From the equation (x - h)² + (y - k)² = r², the center is (h, k) and the radius is r.

Front

What is the inverse of a function?

Back

The inverse of a function f(x) is a function that reverses the effect of f, denoted as f⁻¹(x).

Front

How do you find the inverse of the function y = (2x + 4)/8?

Back

To find the inverse, swap x and y, then solve for y: y = (8x - 4)/2.

Front

What is the relationship between the angle in radians and degrees?

Back

1 radian = 180/π degrees.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

What is the area of a circle?

Back

Area = πr², where r is the radius.