What is the area of a circle with a diameter of 10 millimeters? Estimate the area to the tenths place using 3.14 for π

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A. 314
B. 78.8
C.15.7
D. 79

1 answer

To find the area of a circle, you can use the formula:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle. The diameter is given as 10 millimeters, so the radius \( r \) is half of that:

\[ r = \frac{10}{2} = 5 \text{ millimeters} \]

Now, using \( \pi \approx 3.14 \):

\[ \text{Area} = 3.14 \times (5)^2 \]

Calculating \( (5)^2 \):

\[ (5)^2 = 25 \]

Now substituting this back into the area formula:

\[ \text{Area} = 3.14 \times 25 \]

Calculating it:

\[ 3.14 \times 25 = 78.5 \]

Rounding this to the tenths place, we get 78.5, which is approximately 78.8.

Thus, the closest answer choice for the area of the circle is:

B. 78.8