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
79 square mm
79 square mm
78.5 square mm
78.5 square mm
15.7 square mm
15.7 square mm
314 square mm
The correct answer is 78.5 square mm.
To find the area of a circle, you can use the formula A = πr^2, where A represents the area and r represents the radius.
First, let's find the radius of the circle. Since the diameter is given as 10 millimeters, we can divide it by 2 to get the radius:
Radius = Diameter / 2 = 10 mm / 2 = 5 mm
Now that we have the radius, we can use it to calculate the area:
A = πr^2 = 3.14 x (5 mm)^2
A = 3.14 x 25 mm^2
A ≈ 78.5 square mm (rounded to the tenths place)
To find the area of a circle, you can use the formula A = πr², where A represents the area and r represents the radius of the circle. The radius is half of the diameter, so for a circle with a diameter of 10 millimeters, the radius would be 5 millimeters.
Now, using the formula A = πr² with an estimated value of 3.14 for π, we can calculate the area. Substituting the values, we have A = 3.14(5)².
Calculating further, we get A = 3.14(25) = 78.5 square mm.
Therefore, the estimated area of the circle with a diameter of 10 millimeters to the tenths place using π ≈ 3.14 is 78.5 square mm.