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
314 square mm
314 square mm
79 square mm
79 square mm
78.5 square mm
78.5 square mm
15.7 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 of the circle. In this case, since you are given the diameter of the circle which is 10 millimeters, you can divide it by 2 to find the radius.
So, the radius (r) would be 10 mm / 2 = 5 mm.
Now, substitute the value of the radius (5 mm) into the formula:
A = 3.14 * (5 mm)^2
A = 3.14 * 25 mm^2
A ≈ 78.5 mm^2 (rounded to the tenths place)
Therefore, the estimated area of the circle with a diameter of 10 millimeters is 78.5 square millimeters.
To find the area of a circle, you can use the formula:
Area = πr²
In this case, the diameter is given as 10 millimeters. To find the radius, you can divide the diameter by 2.
Radius = diameter/2 = 10/2 = 5 millimeters
Now, substitute the radius into the formula:
Area = 3.14 x (5)² = 3.14 x 25 = 78.5 square mm
Therefore, the estimated area to the tenths place using 3.14 for π is 78.5 square mm.