Answer:
37.68 sq. m
Explanation:
270° is 3/4 of the 360° in a circle, so the sector takes up exactly 3/4 of this circle's area. The area of any circle with a radius r is πr². This circle has a radius of 4 m, so its area must be π(4)² = 16π sq. m. 3/4 of 16π is 12π, and using 3.14 for the value of π gets us an area of 12(3.14) = 37.68 sq. m