The radius of a circle measures 11 inches. A central angle of the circle measuring 5π/9 radians cuts off a sector. What is the area of the sector?
+658 Plan:
Radians of a circle = \(2\pi\)
Find the area of the circle, then multiply that by a fraction with the numerator of the central angle and the denominator of the total radians.
Solve
1. \(\pi{r^2}=121\pi\)
2.\(121{\pi}*\frac{\frac{5\pi}{9}}{2\pi}\)
3.\(121{\pi}*\frac{\frac{5}{9}}{2}\)
4.\(121{\pi}*\frac{5}{18}\)
5.\(\frac{605\pi}{18}\)
That is the simplest form unless you want the answer in decimal
+658 Plan:
Radians of a circle = \(2\pi\)
Find the area of the circle, then multiply that by a fraction with the numerator of the central angle and the denominator of the total radians.
Solve
1. \(\pi{r^2}=121\pi\)
2.\(121{\pi}*\frac{\frac{5\pi}{9}}{2\pi}\)
3.\(121{\pi}*\frac{\frac{5}{9}}{2}\)
4.\(121{\pi}*\frac{5}{18}\)
5.\(\frac{605\pi}{18}\)
That is the simplest form unless you want the answer in decimal
