Question

area of the sector of a circle:
r=20,theta:pi/6 radians, a=?

Answer 1

.5*r^2*theta=100/3*pi

Answer 2

\[Area=\frac{1}{2}\theta r^2\]when theta is measured in radians (as you have it) so\[A=\frac{1}{2} \frac{\pi}{6} 20^2 = \frac{\pi}{12}*400=\frac{100 \pi}{3}\approx104.72\]

Answer 3

[pi/12 ] * 400 = 104.67

Answer 4

r=4, a=47, theta=?