Question

Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the area of each quarter circle rounded to the nearest hundredth? Use 3.14 for pi.

Answer 1

Given Data:

The diameter of the full circle is: d = 4.6 in

The expression to calculate the area of a quarter circle is,

`A=(\pi* d^2)/(16)`

Substitute values in the above expression.

`\begin{gathered} A=(\pi*4.6^2)/(16) \\ =(3.14*21.16)/(16) \\ =(66.4424)/(16) \\ A\approx4.15in^2 \end{gathered}`

Thus, the area of a quater circle is 4.15 sq inch.