Math II - 2 Week 14 Lessons 5.8, 5.9, 5.10, 5.11

Front

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

Back

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

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, use the formula: degrees = radians * (180/π).

Front

What is the formula for the area of a circle?

Back

The area (A) of a circle can be calculated using the formula: A = π * r^2, where r is the radius.

Front

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

Back

The diameter (d) of a circle is twice the radius (r): d = 2 * r.

Front

How do you find the volume of a sphere?

Back

The volume (V) of a sphere can be calculated using the formula: V = (4/3) * π * r^3, where r is the radius.

Front

What is the circumference of a circle?

Back

The circumference (C) of a circle can be calculated using the formula: C = 2 * π * r, where r is the radius.

Front

If a circle has a circumference of 32 feet, what is the radius?

Back

To find the radius, use the formula: r = C / (2 * π). For a circumference of 32 feet, r = 32 / (2 * π) ≈ 5.1 feet.

Front

What is the formula for converting degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees * (π/180).

Front

What is the formula for the volume of a cylinder?

Back

The volume (V) of a cylinder can be calculated using the formula: V = π * r^2 * h, where r is the radius and h is the height.

Front

How do you find the area of a sector of a circle?

Back

The area (A) of a sector can be calculated using the formula: A = (θ/2π) * π * r^2 = (θ/2) * r^2, where θ is in radians.