The circumference and the area of the circular bed are 14π feet = 43.9823 feet and 49π feet² = 153.9380 feet² respectively.
The circumference is the total length covered by the boundary of an object.
To calculate the circumference of a circle with radius r units, we use the formula: Circumference = 2πr units.
The area of an object is the space its planar face or two-dimensional face covers.
To calculate the area of a circle of radius r units, we use the formula: Area = πr² sq. units.
In the question, we are asked to find the circumference and the area of the circular flower bed that a gardener makes, having a diameter of fourteen feet.
We know that radius = diameter/2 = 14/2 = 7 feet.
To calculate the circumference of the circular bed, we will use the formula 2πr, where r is the radius.
Substituting the radius, r = 7 feet in the above formula, we get:
Circumference = 2(π)(7) feet = 14π feet = 43.9823 feet.
To calculate the area of the circular bed, we will use the formula πr², where r is the radius.
Substituting the radius, r = 7 feet in the above formula, we get:
Area = (π)(7)² feet² = 49π feet² = 153.9380 feet².
Thus, the circumference and the area of the circular bed are 14π feet = 43.9823 feet and 49π feet² = 153.9380 feet² respectively.
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