Question

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.
circumference ( =5 pi ) feet, area ( =25 pi ) square feet
circumference ( =6 pi ) feet, area ( =36 pi ) square feet
circumference ( =10 pi ) feet, area ( =25 pi ) square feet
circumference ( =10 pi ) feet, area ( =100 pi ) square feet
circumference ( =12 pi ) feet, area ( =36 pi ) square feet
circumference ( =12 pi ) feet, area ( =144 pi ) square feet

Explanation:

Step1: Recall the formulas

Circumference formula \(C = \pi d=2\pi r\), Area formula \(A=\pi r^{2}\)

Step2: Calculate for Flower Bed A

Given \(d = 10\) ft (so \(r=\frac{d}{2}=5\) ft).
Circumference \(C=\pi d=\pi\times10 = 10\pi\) feet.
Area \(A=\pi r^{2}=\pi\times5^{2}=25\pi\) square feet.

Step3: Calculate for Flower Bed B

Given \(r = 6\) ft.
Circumference \(C = 2\pi r=2\pi\times6=12\pi\) feet.
Area \(A=\pi r^{2}=\pi\times6^{2}=36\pi\) square feet.

Answer:

Flower Bed A: circumference = \(10\pi\) feet, area = \(25\pi\) square feet; Flower Bed B: circumference = \(12\pi\) feet, area = \(36\pi\) square feet