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
The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. In this case, the diameter is given as 10 millimeters, so the radius would be half of that, which is 5 millimeters.
Using the estimated value of π as 3.14, we can calculate the area as follows:
A = 3.14 * (5)^2
A = 3.14 * 25
A ≈ 78.5
Therefore, the estimated area of the circle is 78.5 square millimeters, rounded to the tenths place.
To find the area of a circle, you can use the formula A = πr², where A represents the area and r represents the radius of the circle.
Given that the diameter is 10 millimeters, we can first find the radius by dividing the diameter by 2. So, the radius (r) would be 10 mm / 2 = 5 mm.
Now, substitute the value of the radius into the formula for the area: A = 3.14 * (5 mm)².
Next, calculate the area by squaring the radius and multiplying it by π. In this case, it would be 3.14 * (5 mm) * (5 mm) = 3.14 * 25 mm² = 78.5 mm².
The estimated area to the tenths place would be 78.5 mm² rounded to one decimal place, which is 78.5 mm².
To find the area of a circle, we 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 substitute the value of the radius into the formula to find the area:
A = π(5 mm)^2
A = 3.14 * 25 mm^2
A ≈ 78.5 mm^2
Rounding to the tenths place, the estimated area of the circle is 78.5 mm^2.