Question

What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot?

A.) 0.25π sq ft
B.) 0.5π sq ft
C.) π sq ft

Answer 1

the area of a sector is o.5 r^2 times the angle

BUT the angle must be in radians

there are 2 pi radians in a full circle

So how many radians in 90 deg?

(leave it as a value of pi)

Answer 2

could you help me out more!?

Answer 3

\[Area = \frac{ r ^{2}\theta }{ 2 } \]

what fraction of a circle is 90 deg ? (eg one half, one third, one sixteenth???)

Answer 4

So it would be B?

Answer 5

B