Question

the radius of a circle is 14 kilometres. what is the circles area?
r=14 km
round your answer to the nearest hundredth.
square kilometres

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

We are given that \( r = 14 \) kilometres. Substituting \( r = 14 \) into the formula, we get \( A=\pi\times(14)^{2} \).
First, calculate \( 14^{2}=14\times14 = 196 \). So, \( A = \pi\times196=196\pi \).

Step3: Calculate the numerical value

Using \( \pi\approx3.14159265 \), we have \( A\approx196\times3.14159265 \).
\( 196\times3.14159265 = 615.7521604 \).

Step4: Round to the nearest hundredth

Rounding \( 615.7521604 \) to the nearest hundredth (two decimal places), we look at the third decimal place which is \( 2 \). Since \( 2<5 \), we round down. So, \( 615.7521604\approx615.75 \).

Answer:

\( 615.75 \)