What is the area of a circle with a radius of 2.1 miles? Estimate the area to the hundredths place using 3.14 for π.
The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
Plugging in the given radius of 2.1 miles and using π ≈ 3.14, we get:
A = 3.14 * (2.1)^2
A = 3.14 * 4.41
A ≈ 13.8234
Rounding to the hundredths place, the estimated area of the circle is 13.82 square miles.
Wrong
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.
In this case, the given radius is 2.1 miles, and we are using an approximation of π as 3.14.
To calculate the area, substitute the given values into the formula:
A = 3.14 * (2.1 miles)^2
Next, simplify by squaring the radius:
A = 3.14 * 4.41 miles^2
Multiply the two values:
A = 13.8274 miles^2
Finally, round the area to the hundredths place:
The estimated area of the circle is approximately 13.83 square miles.
To find the area of a circle, you can use the formula A = πr², where A represents the area and r represents the radius.
In this case, you are given that the radius of the circle is 2.1 miles. So, you can substitute the value of the radius into the formula:
A = 3.14 × (2.1)²
Now, let's calculate it step by step:
1. Multiply 2.1 by itself: 2.1 × 2.1 = 4.41
2. Multiply the result by π: 3.14 × 4.41 = 13.8574
To estimate the area to the hundredths place, we need to round the result to two decimal places:
The digit after the hundredths place is 5, so we need to look at the digit after that. Since it is 7 and greater than 5, we round the digit in the hundredths place up by 1.
Therefore, the estimated area of the circle with a radius of 2.1 miles is 13.86 square miles.