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 .(1 point) Responses 314 square mm 314 square mm 15.7 square mm 15.7 square mm 79 square mm 79 square mm 78.5 square mm 78.5 square mm

Answer 1

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

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

where \( r \) is the radius of the circle. The radius is half of the diameter. If the diameter is 10 millimeters, then the radius is:

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

Now, substituting the values into the area formula using \( \pi \approx 3.14 \):

\[ \text{Area} = 3.14 \times (5)^2 \] \[ \text{Area} = 3.14 \times 25 \] \[ \text{Area} = 78.5 \text{ square mm} \]

Therefore, the area of the circle is approximately 78.5 square mm.