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
314 square mm
314 square mm
78.5 square mm
78.5 square mm
79 square mm
The correct response is 78.5 square mm.
To find the area of a circle, you can use the formula A = πr², where A is the area and r is the radius of the circle.
In this case, the diameter of the circle is given, so we need to find the radius first. The radius is half of the diameter, so the radius would be 10 mm / 2 = 5 mm.
Now we can substitute the value of the radius into the formula. Using the value of π as 3.14, we have A = 3.14 * 5² = 3.14 * 25 = 78.5 square mm.
Therefore, the estimated area of the circle to the tenths place using 3.14 for π 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. In this case, the diameter is given as 10 millimeters, so we can find the radius by dividing the diameter by 2.
Radius = Diameter / 2 = 10 mm / 2 = 5 mm
Now, we can substitute the calculated radius into the formula:
A = π(5 mm)^2 = 3.14 * (5 mm)^2 = 3.14 * 25 mm^2
Using the value of π as 3.14, we can calculate the area:
A = 78.5 square mm
Therefore, the estimated area of the circle with a diameter of 10 millimeters is 78.5 square mm to the tenths place.