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a circle with a radius of 14 feet is cut into 8 equal pieces. how many square feet are 3 of the pieces? use 22/7 for tt

User Benoti
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2 Answers

3 votes

Answer:

231 square feet

Explanation:

Total area:


A=\pi r^(2) =((22)/(7) )(14)^(2) =((22)(196))/(7) =(4312)/(7) =616sq.ft.

Divide into eight pieces:


(A)/(8) =(616)/(8) =77sq.ft. each piece

Three-piece area:


(3)(77)=231sq.ft.

Hope this helps

User Kalehmann
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8.5k points
3 votes

Answer: The area of 3 pieces is approximately 231 square feet.

Explanation: The area of a circle is calculated using the formula A = πr², where A represents the area of the circle, π is a mathematical constant approximately equal to 3.14 (or 22/7), and r represents the radius of the circle. In this case, the radius of the circle is given as 14 feet.

Substituting these values into the formula, we get A = (22/7) * 14² = 616 square feet. This represents the total area of the entire circle.

Since the circle is cut into 8 equal pieces, we can find the area of each piece by dividing the total area of the circle by 8. This gives us an area of 616/8 = 77 square feet for each piece.

Finally, since you are interested in finding the area of 3 pieces, we can simply multiply the area of one piece by 3 to get a final answer of 77 * 3 = 231 square feet.

Hope this helps, and have a great day!

User Florian Neumann
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