find the circumference and area of a circle if its diameter is 12 feet. round to the nearest tenth.
To find the circumference and area of a circle, we can use the formulas:
Circumference = π × diameter
Area = π × radius^2
Given that the diameter of the circle is 12 feet, we can find the radius by dividing the diameter by 2.
Radius = Diameter / 2 = 12 / 2 = 6 feet
Now, let's calculate the circumference and area of the circle:
Circumference = π × diameter = π × 12 = 37.7 feet (rounded to the nearest tenth)
Area = π × radius^2 = π × 6^2 = 113.1 square feet (rounded to the nearest tenth)
Therefore, the circumference of the circle is approximately 37.7 feet, and the area is approximately 113.1 square feet.
To find the circumference and area of a circle, you need to use some formulas.
1. Circumference:
The circumference of a circle is given by the formula: C = πd, where d is the diameter of the circle.
In this case, the diameter is given as 12 feet. Therefore, we can substitute d = 12 into the formula: C = π(12).
To round to the nearest tenth, we will use the approximate value for pi as 3.14159.
Calculating the circumference:
C = 3.14159(12)
C ≈ 37.7 feet (rounded to the nearest tenth)
The circumference of the circle is approximately 37.7 feet.
2. Area:
The area of a circle is given by the formula: A = πr^2, where r is the radius of the circle.
In this case, the diameter is 12 feet. To find the radius (r), divide the diameter by 2: r = 12/2.
Calculating the area:
r = 12/2
r = 6 feet
Substituting r = 6 into the formula: A = 3.14159(6)^2
A ≈ 113.1 square feet (rounded to the nearest tenth)
The area of the circle is approximately 113.1 square feet.