Question

A circle with radius 9 has a sector with a central angle of 120°
What is the area of the sector?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal

Answer 1

Step-by-step explanation:

$radius = 9$

$central \: angle = 120 \times \frac{3.14or\pi }{180} radian$

$central \: angle = 2.09334 \: approximately = 2.1$

$area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle$

$putting \: the \: values$

$area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1$$= \frac{1}{2} \times 9 {}^{2} \times 2.1$

$area \: of \: sector \: = 85.05 {m}^{2}$

Answer 2

Answer:

27π square units

Step-by-step explanation:

Note that a central angle of 120° is exactly 1/3 of a full circle.

So to find the area of this sector, find the area of the whole circle and divide your result by 3:

A = (1/3)π(9)^2 = 27π square units