Find the area and the circumference of a circle with diameter 9 ft.
Use the value 3.14 for π , and do not round your answers. Be sure to include the correct units in your answers.
r = d / 2
r = 9 / 2 ft
r = 4.5 ft
A = πr^2
A = (3.14) * 4.5^2
A = 63.585 ft^2
C = 2πr
Make sure you double-check value for C also.
To find the area of a circle, we use the formula A = πr^2, where A is the area and r is the radius of the circle.
Given that the diameter of the circle is 9 ft, we can find the radius by dividing the diameter by 2. So, the radius is 9 ft / 2 = 4.5 ft.
Now, we can substitute the radius (r) into the formula for area (A) of the circle:
A = 3.14 * (4.5 ft)^2
Calculating this, we get:
A = 3.14 * 20.25 ft^2
Therefore, the area of the circle is 63.585 ft^2.
To find the circumference of a circle, we use the formula C = 2πr, where C is the circumference and r is the radius of the circle.
Using the same radius of 4.5 ft, we can substitute it into the formula for the circumference (C) of the circle:
C = 2 * 3.14 * 4.5 ft
Calculating this, we get:
C = 28.26 ft
Therefore, the circumference of the circle is 28.26 ft.
Area = 25.13 ft^2
Circumference = 28.26 ft