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?
Plan:
Radians of a circle = 2π
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. πr2=121π
2.121π∗5π92π
3.121π∗592
4.121π∗518
5.605π18
That is the simplest form unless you want the answer in decimal
Plan:
Radians of a circle = 2π
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. πr2=121π
2.121π∗5π92π
3.121π∗592
4.121π∗518
5.605π18
That is the simplest form unless you want the answer in decimal