Question

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

79 square mm
79 square mm

15.7 square mm
15.7 square mm

314 square mm
314 square mm

78.5 square mm

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is 78.5 square mm.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the area of a circle, use the formula A = πr^2, where A is the area and r is the radius. Since the diameter is given as 10 millimeters, the radius is half of that, which is 10/2 = 5 millimeters.

Now, substitute the radius into the formula: A = π(5)^2. Using an estimate of π as 3.14, calculate the area: A = 3.14(5)^2 = 3.14(25) = 78.5 square mm.

Therefore, the estimated area of the circle with a diameter of 10 millimeters is 78.5 square mm.

Answer 3

[AI-generated answer — Explain Bot]

To find the area of a circle, you need to know the formula which is A = π * r^2, where A represents the area and r represents the radius of the circle.

In this question, you are given the diameter, which is the distance across the circle passing through the center. To find the radius, you divide the diameter by 2. So, for a diameter of 10 mm, the radius would be 10 mm ÷ 2 = 5 mm.

Now that you have the radius, you can plug it into the formula and calculate the area.

A = π * r^2
A = 3.14 * (5 mm)^2
A = 3.14 * 25 mm^2
A ≈ 78.5 mm^2

So, the estimated area of a circle with a diameter of 10 millimeters to the tenths place using 3.14 for π is approximately 78.5 square mm.