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Question

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a gardener makes a new circular flower bed. the bed is
tourteen feet in diameter. calculate the circumference
and the area of the circular flower bed.
circumference = 14π feet, area = 49π square feet
circumference = 14 feet, area = 14π square feet
circumference = 14π feet, area = 196π square feet
circumference = 7π feet, area = 49π square feet

Explanation:

Step1: Find the radius

Given diameter \( d = 14 \) feet. Since \( r=\frac{d}{2} \), then \( r = \frac{14}{2}=7 \) feet.

Step2: Calculate the circumference

The formula for the circumference of a circle is \( C=\pi d \). Substituting \( d = 14 \), we get \( C = 14\pi \) feet.

Step3: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Substituting \( r = 7 \), we have \( A=\pi\times(7)^{2}=49\pi \) square feet.

Answer:

circumference \( = 14\pi \) feet, area \( = 49\pi \) square feet