$\text { The radius, } r \text {, of a circle is decreasing at a rate of } 5 \text { centimeters per minute. }$

question 180

Multiple Choice

$\text { The radius, } r \text {, of a circle is decreasing at a rate of } 5 \text { centimeters per minute. }$ $\text { Find the rate of change of area, } A \text {, when the radius is } 6 .$

• A) \(\frac { d A } { d t } = - 360 \pi \mathrm { sq } \mathrm { cm } / \mathrm { min }\)
• B) \(\frac { d A } { d t } = 360 \pi \mathrm { sq } \mathrm { cm } / \mathrm { min }\)
• C) \(\frac { d A } { d t } = - 60 \pi \mathrm { sq } \mathrm { cm } / \mathrm { min }\)
• D) \(\frac { d A } { d t } = 60 \pi \mathrm { sq } \mathrm { cm } / \mathrm { min }\)
• E) \(\frac { d A } { d t } = - 30 \pi \mathrm { sq } \mathrm { cm } / \mathrm { min }\)

---

Definitions:

Outer Atmosphere

The outermost layer of Earth's atmosphere, extending beyond the mesosphere, primarily composed of extremely low densities of hydrogen, helium, and other lighter gases.

Earth's Interior

The innermost layers of the Earth, including the crust, mantle, and core, each with distinct physical and chemical properties.

Geological Processes

Natural dynamics of the Earth that shape its surface and interior, including phenomena like volcanic eruptions, earthquakes, and erosion.

Extreme Pressure

Refers to very high pressures used in industrial processes or occurring naturally deep within the Earth.