Question

using ( a=pi r^{2} ), what is the area(a) of a circle with ( r = 6 )? (use ( pi approx 3.14 ))

Explanation:

Step1: Substitute the value of \( r \) into the formula

Given \( A=\pi r^{2} \), \( r = 6 \), and \( \pi\approx3.14 \). Substitute \( r = 6 \) into the formula: \( A=3.14\times6^{2} \).

Step2: Calculate \( 6^{2} \)

According to the exponent rule, \( 6^{2}=6\times6 = 36 \). So the formula becomes \( A=3.14\times36 \).

Step3: Perform the multiplication

\( 3.14\times36=(3 + 0.14)\times36=3\times36+0.14\times36=108+5.04 = 113.04 \).

Answer:

113.04