Question

if a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is the area, in cm2, of the sector? round your answer to the nearest tenth.

Answer 1

For this case the area of the sector is given by:
 A = (S '/ S) * (pi) * (r ^ 2)
 Where,
 S '/ S = relation of arcs
 r: radius of the circle
 Substituting values we have:
 A = (7.4/360) * (3.14) * (13 ^ 2)
 A = 10.9080111
 Rounding off we have:
 A = 10.9 cm^2
 Answer:
 the area of sector is:
 A = 10.9 cm^2