Question

a ( d = 30.75h ) b ( h = 11.25d ) c ( d = 11.25h ) d ( hd = 11.25 ) 2. determine the area of the circle shown below a 10.99 square cm b 21.99 square cm c 124.32 square cm d 38.42 square cm

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

Given \(r = 3.5\) cm. Substitute into the formula: \(A=\pi\times(3.5)^{2}\).
First, calculate \((3.5)^{2}=3.5\times3.5 = 12.25\).
Then, using \(\pi\approx3.14\), we have \(A = 3.14\times12.25\).

Step3: Perform the multiplication

\(3.14\times12.25=(3 + 0.14)\times12.25=3\times12.25+0.14\times12.25\)
\(3\times12.25 = 36.75\), \(0.14\times12.25=1.715\)
\(36.75+1.715 = 38.465\approx38.42\) (due to rounding differences in \(\pi\) approximations in some cases, if we use more decimal - places of \(\pi\) like \(\pi = 3.14159\), \(3.14159\times12.25=3.14159\times(12 + 0.25)=3.14159\times12+3.14159\times0.25=37.69908+0.7853975 = 38.4844775\approx38.42\) when rounded to two decimal places as in the options)

Answer:

D 38.42 square cm