Question

a football stadium floodlights can spread its illumination over an angle of 45 degrees to a distance of 55 meters. determine the max area that is floodlit?

Answer 1

the formula of area for this sector is:

\[A = \frac{ n }{ 360 } * \Pi r^2\]
where A = area of any sector (fractional part of the area of the circle)
n = no. of degrees in the central angle of the sector (45 degrees)
r = radius (55 meters)
Pi = 3.14159...