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)

Question

Responses

79 square mm
79 square mm

78.5 square mm
78.5 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. The radius is half of the diameter. Since the diameter of the circle is 10 millimeters, the radius will be:

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

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

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

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