Unit 4 Test Review AB

Front

What is the formula for the area of a circle in terms of its radius?

Back

A = πr²

Front

How do you find the rate of change of the area of a circle when the radius is changing?

Back

Use the formula dA/dt = (dA/dr) * (dr/dt), where dA/dr = 2πr.

Front

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

Back

C = 2πr.

Front

How do you calculate the volume of a sphere?

Back

V = (4/3)πr³.

Front

What is the rate of change of the volume of a sphere when the radius is increasing?

Back

Use the formula dV/dt = (dV/dr) * (dr/dt), where dV/dr = 4πr².

Front

What is the derivative of the area of a circle with respect to time?

Back

dA/dt = 2πr(dr/dt).

Front

If the radius of a circle is increasing at a constant rate, how does that affect the area?

Back

The area increases at a rate proportional to the radius.

Front

What is the formula for the circumference of a circle?

Back

C = 2πr.

Front

How do you find the rate of change of the circumference of a circle when the radius is changing?

Back

Use the formula dC/dt = (dC/dr) * (dr/dt), where dC/dr = 2π.

Front

What is the relationship between the radius and volume of a sphere?

Back

The volume increases with the cube of the radius.