Question

find the area of a circle with a radius of 5.6. use π = 3.14 and round your answer to the nearest hundredth.

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle is \( A = \pi r^2 \), where \( r \) is the radius of the circle.

Step2: Substitute the given values into the formula

We are given that \( r = 5.6 \) and \( \pi = 3.14 \). Substituting these values into the formula, we get \( A = 3.14\times(5.6)^2 \).

Step3: Calculate \( (5.6)^2 \)

First, calculate \( 5.6\times5.6 = 31.36 \).

Step4: Multiply by \( \pi \) (3.14)

Now, multiply \( 3.14 \) by \( 31.36 \). So, \( 3.14\times31.36 = 98.4704 \).

Step5: Round to the nearest hundredth

Rounding \( 98.4704 \) to the nearest hundredth (two decimal places), we look at the third decimal place, which is \( 0 \). Since \( 0 < 5 \), we round down. So, the result is \( 98.47 \).

Answer:

\( 98.47 \)