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
79 square mm
79 square mm
78.5 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 is the area and r is the radius.
Given that the diameter is 10 millimeters, we can find the radius by dividing the diameter by 2.
Radius = Diameter/2 = 10 mm/2 = 5 mm
Now, substitute the value of the radius into the formula:
A = π(5 mm)^2
Using the value of π as 3.14, we can calculate the area:
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 is 78.5 square mm.