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 78.5 square mm 78.5 square mm 79 square mm 79 square mm 314 square mm 314 square mm 15.7 square mm 15.7 square mm

Answer 1

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. Since the diameter is given as 10 millimeters, the radius \( r \) is half of the diameter:

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

Now, plug the radius into the area formula using \( \pi \approx 3.14 \):

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

Calculating that gives:

\[ \text{Area} = 3.14 \times 25 = 78.5 \text{ square millimeters} \]

So the area of the circle is 78.5 square mm.