Question

What is the Area of the Yellow arc of this semi-circle?

Answer 1

Answer:

11 sq. feet

Step-by-step explanation:

ar(Blue) = 1/2 × 3.14 × 2 × 2 sq. feet = 3.14 × 2 sq. feet

ar(Blue+Green) = 1/2 × 3.14 × (2+1) × (2+1) = 3.14 × 4.5 sq. feet

ar(Blue+Green+Yellow) = 1/2 × 3.14 × (3+1) × (3+1) = 3.14 × 8 sq. feet

ar(Yellow) = 3.14 × 8 - 3.14 × 4.5 sq. feet = 11 sq. feet

Answer 2

Answer:

r=4ft (blue to yellow)

area=1/2πr^2

=8π

r=3ft (blue to green)

area=1/2πr^2

=4.5π

area of yellow arc=8π-4.5π

=3.5πft^2

3.5*22/7ft^2

11ft^2