+2446 First, know the formula of a sector;
Let r= radius
Let m= measure of central angle in degrees
\(A_{sector}=\pi r^2*\frac{m^{\circ}}{360^{\circ}}\)
Now, let's substitute into this formula. 60mm is the radius, and the central angle is also given, 30 degrees:
| \(A_{sector}=\pi (60)^2*\frac{30^{\circ}}{360^{\circ}}\) | Here is the formula again but with the substituted values. Let's simplify \(\pi (60)^2 \) first |
| \(A_{sector}=\frac{3600\pi}{1}*\frac{30^{\circ}}{360}\) | 3600 and 360 can be simplified nicely |
| \(A_{sector}=\frac{10\pi}{1}*\frac{30^{\circ}}{1}\) | Multiply the fractions and leave the answer in terms of pi--like the directions specify! |
| \(A_{sector}=300\pi\hspace{1mm}mm^2\approx942.4777962\hspace{1mm}mm^2\) | Of course, remember units! |
Therefore, your answer is correct!
+2446 Well, I had a plan to respond, but then this happened:
| PLAN | ||
| (P+L)(A+N) | ||
| PA+PN+LA+LN |
My plans were foiled...
