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
15.7 square mm
15.7 square mm
79 square mm
79 square mm
78.5 square mm
78.5 square mm
314 square mm
The correct response is:
78.5 square mm
To find the area of a circle, you can use the formula A = πr^2, where A is the area and r is the radius of the circle.
Given that the diameter of the circle is 10 millimeters, the radius would be half of the diameter, which is 5 millimeters.
Now, substitute the radius value into the formula and estimate the area using 3.14 for π:
A = 3.14 * (5 mm)^2
Simplifying this equation:
A = 3.14 * 25 mm^2
A ≈ 78.5 square mm
So, the estimated area of the circle with a diameter of 10 millimeters 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 of the circle.
Given that the diameter of the circle is 10 millimeters, we can find the radius by dividing the diameter by 2.
Radius = Diameter / 2 = 10 mm / 2 = 5 mm
Now we can substitute the radius into the formula to find the area:
A = π(5 mm)^2
Using the approximation π = 3.14, we can calculate the area:
A ≈ 3.14 * (5 mm)^2 = 3.14 * 25 mm^2 = 78.5 mm^2
Therefore, the estimated area of the circle, rounded to the tenths place, is 78.5 square mm.
So the correct answer is: 78.5 square mm.