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BigorU [14]
1 year ago
9

The diameter of a circle is 12 feet. what is the area?give the exact answer in simplest form.

Mathematics
1 answer:
Xelga [282]1 year ago
5 0

The area of a circle (A) with radius "r" is:

A=\pi\cdot r^2

To solve this question, follow the steps below.

Step 01: Find r.

The radius is half the measure of the diameter.

r=\frac{D}{2}

Given D = 12 feet, then:

\begin{gathered} r=\frac{12}{2} \\ r=6 \end{gathered}

Step 02: Find A.

Use r = 6 feet to find A.

\begin{gathered} A=\pi\cdot6^2 \\ A=36\pi \end{gathered}

Answer: The area is 36π square feet.

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Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

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⇒ 0.8 C = 28.8

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⇒ Number of pounds of walnuts = 40 - C = 4 pounds

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