Question
The diameter of a round dinner plate is 10 inches. What's the area of the plate?
Question 10 options:
A)
314 square inches
B)
39.25 square inches
C)
39.25 inches
D)
78.5 square inches
Question 10 options:
A)
314 square inches
B)
39.25 square inches
C)
39.25 inches
D)
78.5 square inches
Answers
GPT-4o mini
To find the area of a round dinner plate, we can use the formula for the area of a circle:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter of the plate is 10 inches:
\[ r = \frac{10}{2} = 5 \text{ inches} \]
Now, substituting the radius into the area formula:
\[ \text{Area} = \pi (5)^2 = \pi \times 25 \]
Using the approximate value of \( \pi \) as 3.14:
\[ \text{Area} \approx 3.14 \times 25 = 78.5 \text{ square inches} \]
Therefore, the area of the dinner plate is approximately 78.5 square inches.
The correct answer is:
**D) 78.5 square inches**
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter of the plate is 10 inches:
\[ r = \frac{10}{2} = 5 \text{ inches} \]
Now, substituting the radius into the area formula:
\[ \text{Area} = \pi (5)^2 = \pi \times 25 \]
Using the approximate value of \( \pi \) as 3.14:
\[ \text{Area} \approx 3.14 \times 25 = 78.5 \text{ square inches} \]
Therefore, the area of the dinner plate is approximately 78.5 square inches.
The correct answer is:
**D) 78.5 square inches**