If the area of a circle is 121π square units, what is its diameter?

if the circumference of a circle is 20π units, what is its area?

To solve the inequality, let’s start by subtracting \blue{100}100start color blue, 100, end color blue from both sides:

\qquad \begin{aligned} 100+50w &\geq 18{,}000 100+50w- \blue{100} &\geq18{,}000- \blue{100} 50w&\geq 17{,}900 \dfrac{50w}{\green{50}} &\geq \dfrac{17{,}900}{\green{50}}&(\text{divide both sides by} \,\green{50})\\ \\ w &\geq 358.\\ \end{aligned}

100+50w

100+50w−100

50w

50

50w

​

w

​

≥18,000

≥18,000−100

≥17,900

≥

50

17,900

​

≥358.

​

To solve the inequality, let’s start by subtracting \blue{100}100start color blue, 100, end color blue from both sides:

\qquad \begin{aligned} 100+50w &\geq 18{,}000 100+50w- \blue{100} &\geq18{,}000- \blue{100} 50w&\geq 17{,}900 \dfrac{50w}{\green{50}} &\geq \dfrac{17{,}900}{\green{50}}&(\text{divide both sides by} \,\green{50})\\ \\ w &\geq 358.\\ \end{aligned}

100+50w

100+50w−100

50w

50

50w

​

w

​

≥18,000

≥18,000−100

≥17,900

≥

50

17,900

​

≥358.

​