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Rus_ich [418]
3 years ago
6

Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will

not be used.

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

C=2\pi r

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

C=2\pi (5)=10\pi\text{ feet}

The formula for the area of a circle is:

A=\pi r^2

Substitute 5 for r:

A=\pi (5)^2

Square and simplify:

A=25\pi \text{ square feet}

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:

C=2\pi (6)

Multiply:

C=12\pi\text{ feet}

Substitute 6 for r for the area formula:

A=\pi(6)^2

Square and simplify:

A=36\pi\text{ square feet}

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!

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