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
78.5 square mm
78.5 square mm
79 square mm
79 square mm
314 square mm
314 square mm
15.7 square mm
To find the area of a circle, we use the formula A = πr^2, where A is the area and r is the radius. Since we are given the diameter, we can find the radius by dividing the diameter by 2.
So, the radius would be 10 mm / 2 = 5 mm.
Now, we can substitute the radius into the formula:
A = 3.14 * (5 mm)^2 = 3.14 * 25 mm^2 = 78.5 mm^2
Therefore, the area of the circle 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. The diameter of the circle 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 radius into the formula to find the area:
A = 3.14 * (5 mm)^2
A = 3.14 * 25 mm^2
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.
To find the area of a circle, you can use the formula A = πr², where A is the area, π (pi) is a mathematical constant approximately equal to 3.14, and r is 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. Therefore, the radius (r) would be 10 mm / 2 = 5 mm.
Substituting the radius into the formula, we have A = 3.14 * (5 mm)².
Calculate the square of 5 mm: (5 mm)² = 25 mm².
Now, multiply 3.14 by 25 mm²: A = 3.14 * 25 mm² = 78.5 mm².
Rounding the answer to the tenths place, the estimated area of the circle is 78.5 square mm. Therefore, the correct response is: 78.5 square mm.