A Circular Tabletop Has A Radius Of 24 Inches.What Is The Area Of The Tabletop, To The Nearest Square Inch? Use 3.14 For Π \pi Π .A. 75 In. 2 ^2 2 B. 151 In. 2 ^2 2 C. 1809 In. 2 ^2 2 D. 7235 In. 2 ^2 2
Introduction
When it comes to calculating the area of a circular tabletop, we need to consider the formula for the area of a circle, which is given by A = πr^2, where A is the area and r is the radius of the circle. In this case, we are given that the radius of the circular tabletop is 24 inches. We will use the value of π as 3.14 to calculate the area of the tabletop.
Calculating the Area of the Circular Tabletop
To calculate the area of the circular tabletop, we can use the formula A = πr^2. We are given that the radius of the tabletop is 24 inches, so we can plug this value into the formula to get:
A = π(24)^2 A = 3.14(24)^2 A = 3.14(576) A = 1809.44
Rounding the Area to the Nearest Square Inch
Since we are asked to find the area of the tabletop to the nearest square inch, we need to round the calculated area to the nearest whole number. The calculated area is 1809.44 square inches, which rounds to 1809 square inches.
Conclusion
In conclusion, the area of the circular tabletop with a radius of 24 inches is 1809 square inches, to the nearest square inch.
Comparison of Options
Let's compare our calculated area with the given options:
- A. 75 in. - This is not the correct answer, as our calculated area is much larger.
- B. 151 in. - This is also not the correct answer, as our calculated area is much larger.
- C. 1809 in. - This is the correct answer, as our calculated area is 1809 square inches.
- D. 7235 in. - This is not the correct answer, as our calculated area is much smaller.
Final Answer
The final answer is C. 1809 in. .
Introduction
When it comes to calculating the area of a circular tabletop, we need to consider the formula for the area of a circle, which is given by A = πr^2, where A is the area and r is the radius of the circle. In this case, we are given that the radius of the circular tabletop is 24 inches. We will use the value of π as 3.14 to calculate the area of the tabletop.
Calculating the Area of the Circular Tabletop
To calculate the area of the circular tabletop, we can use the formula A = πr^2. We are given that the radius of the tabletop is 24 inches, so we can plug this value into the formula to get:
A = π(24)^2 A = 3.14(24)^2 A = 3.14(576) A = 1809.44
Rounding the Area to the Nearest Square Inch
Since we are asked to find the area of the tabletop to the nearest square inch, we need to round the calculated area to the nearest whole number. The calculated area is 1809.44 square inches, which rounds to 1809 square inches.
Conclusion
In conclusion, the area of the circular tabletop with a radius of 24 inches is 1809 square inches, to the nearest square inch.
Comparison of Options
Let's compare our calculated area with the given options:
- A. 75 in. - This is not the correct answer, as our calculated area is much larger.
- B. 151 in. - This is also not the correct answer, as our calculated area is much larger.
- C. 1809 in. - This is the correct answer, as our calculated area is 1809 square inches.
- D. 7235 in. - This is not the correct answer, as our calculated area is much smaller.
Final Answer
The final answer is C. 1809 in. .
Q&A
Q: What is the formula for the area of a circle?
A: The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.
Q: What is the value of π used in this calculation?
A: The value of π used in this calculation is 3.14.
Q: What is the radius of the circular tabletop?
A: The radius of the circular tabletop is 24 inches.
Q: How do we calculate the area of the circular tabletop?
A: We calculate the area of the circular tabletop by plugging the value of the radius into the formula A = πr^2.
Q: What is the calculated area of the circular tabletop?
A: The calculated area of the circular tabletop is 1809.44 square inches.
Q: How do we round the calculated area to the nearest square inch?
A: We round the calculated area to the nearest whole number by looking at the decimal part of the calculated area. If the decimal part is .5 or greater, we round up. If the decimal part is less than .5, we round down.
Q: What is the final answer to the problem?
A: The final answer to the problem is C. 1809 in. .
Q: Why is option A not the correct answer?
A: Option A is not the correct answer because the calculated area is much larger than 75 square inches.
Q: Why is option B not the correct answer?
A: Option B is not the correct answer because the calculated area is much larger than 151 square inches.
Q: Why is option D not the correct answer?
A: Option D is not the correct answer because the calculated area is much smaller than 7235 square inches.
Q: What is the correct answer to the problem?
A: The correct answer to the problem is C. 1809 in. .