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

1 answer

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