Question

a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed.
circumference = 10π feet, area = 10π square feet
circumference = 10π feet, area = 100π square feet
circumference = 10π feet, area = 25π square feet
circumference = 5π feet, area = 25π square feet
topic: circles
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tx math bridge - stage 1 study path
test

Explanation:

Step1: Recall circle - related formulas

The formula for the circumference of a circle is $C=\pi d$, and the formula for the area of a circle is $A = \pi r^{2}$, where $d$ is the diameter and $r$ is the radius ($r=\frac{d}{2}$).

Step2: Calculate the circumference

Given that the diameter $d = 10$ feet, using the formula $C=\pi d$, we get $C = 10\pi$ feet.

Step3: Calculate the radius

Since $r=\frac{d}{2}$ and $d = 10$ feet, then $r = 5$ feet.

Step4: Calculate the area

Using the formula $A=\pi r^{2}$, substituting $r = 5$ feet, we have $A=\pi\times5^{2}=25\pi$ square - feet.

Answer:

circumference = $10\pi$ feet, area = $25\pi$ square feet