Review Math 3

Front

What is the formula for the length of an arc in a circle?

Back

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

Front

How do you find the center and radius of a circle given its equation in standard form?

Back

Convert the equation to the form (x-h)² + (y-k)² = r². The center is (h, k) and r is the square root of the constant on the right.

Front

What is the inverse of the function f(x) = 2x + 4?

Back

f⁻¹(x) = (x - 4) / 2.

Front

How do you calculate the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the relationship between the central angle and the arc length in a circle?

Back

The arc length is directly proportional to the central angle.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π / 180).

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Height = Volume / (πr²).

Front

What is the definition of a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.