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.)
15.7 square mm
79 square mm
78.5 square mm
314 square mm
The area of a circle can be found using the formula A = πr^2, where π is approximately 3.14 and r is the radius of the circle. In this case, the diameter is given as 10 mm, so the radius would be half of that, which is 5 mm.
Using the formula, we can calculate the area:
A = 3.14 * (5)^2
A = 3.14 * 25
A ≈ 78.5 square mm
Therefore, the estimated area of the circle is 78.5 square mm.
To find the area of a circle, you can use the formula:
Area = π * radius^2
Given that the diameter is 10 millimeters, you can find the radius by dividing it by 2:
Radius = diameter / 2 = 10 mm / 2 = 5 mm
Next, you can substitute the value of the radius into the formula:
Area = 3.14 * 5^2
Calculating this, you get:
Area = 3.14 * 25
The result is:
Area ≈ 78.5 square mm
So the estimated area, rounded to the tenths place, is 78.5 square mm.