Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:
[tex]C=2\pi r[/tex]
The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:
[tex]C=2\pi (5)=10\pi\text{ feet}[/tex]
The formula for the area of a circle is:
[tex]A=\pi r^2[/tex]
Substitute 5 for r:
[tex]A=\pi (5)^2[/tex]
Square and simplify:
[tex]A=25\pi \text{ square feet}[/tex]
So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:
[tex]C=2\pi (6)[/tex]
Multiply:
[tex]C=12\pi\text{ feet}[/tex]
Substitute 6 for r for the area formula:
[tex]A=\pi(6)^2[/tex]
Square and simplify:
[tex]A=36\pi\text{ square feet}[/tex]
So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!
