QuestionA gardener creates a circular flower bed with a 12 ft diameter. Find its circumference and area.

Studdy Solution

STEP 1

Assumptions1. The flower bed is a perfect circle. . The diameter of the flower bed is12 feet.

STEP 2

We first calculate the circumference of the circle. The formula for the circumference of a circle is given by $Circumference = \pi \times diameter$

STEP 3

Now, plug in the given value for the diameter to calculate the circumference.
$Circumference = \pi \times12$

STEP 4

Calculate the circumference of the flower bed.
$Circumference = \pi \times12 =12\pi \, feet$

STEP 5

Next, we calculate the area of the circle. The formula for the area of a circle is given by $Area = \pi \times (radius)^2$

STEP 6

We know that the radius is half the diameter. So, the radius of the flower bed is6 feet.
$Radius = Diameter /2 =12 /2 =6 \, feet$

STEP 7

Now, plug in the value for the radius to calculate the area.
$Area = \pi \times (6)^2$

STEP 8

Calculate the area of the flower bed.
$Area = \pi \times (6)^2 =36\pi \, square \, feet$ The circumference of the circular flower bed is $12\pi$ feet and the area is $36\pi$ square feet.

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