Question

What is the area of the composite figure

Answer 1

Answer:

(6pi + 10) m^2

Step-by-step explanation:

The bottom right part is a rectangle, 2 m by 5 m.

A = 2 m * 5 m = 10 m^2

The curved part is a larger semicircle with an inner semicircle missing.

We find the area of the larger semicircle and subtract from it the area of the smaller semicircle.

Larger semicircle: radius = 4 m

area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(4 m)^2 = 8pi m^2

Smaller semicircle: radius = 2 m

area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(2 m)^2 = 2pi m^2

Area of circular part: 8pi m^2 - 2pi m^2 = 6pi m^2

Total area: 6pi m^2 + 10 m^2 = (6pi + 10) m^2