You have a table in your living room with a round top that has a diameter of 2 1/2 feet. You would like to put a piece of glass over the top of the table to protect the surface. What is the area of the table top? (Use 3.14 for the value of pi). Write your answer as a mixed number.
1 49/100 square feet
The area of circle is given by,
A = pi*(D^2)/4
where
D = diameter
Substituting,
A = ( 3.14 * (5/2)^2 )/4
A = 4.90625 ft^2
In mixed number, this is 4 29/32 ft^2.
Hope this helps :3
To find the area of the table top, we need to calculate the area of a circle. The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius of the circle.
In this case, we are given the diameter of the table top, which is 2 1/2 feet. The radius is half the diameter, so we need to divide the diameter by 2.
2 1/2 can be written as an improper fraction: 5/2.
Now, we can calculate the radius by dividing 5/2 by 2.
(5/2) ÷ 2 = 5/4 = 1 1/4
So, the radius of the table top is 1 1/4 feet.
Now, we can calculate the area of the table top using the formula A = πr^2.
Plugging in the values:
A = 3.14 × (1 1/4)^2
To square 1 1/4, we convert it to an improper fraction: 1 1/4 = 5/4
A = 3.14 × (5/4)^2
Simplifying, we square the fraction:
A = 3.14 × (25/16)
Now, we multiply the numerators:
A = (3.14 × 25) / 16
And then divide by the denominator:
A = 78.5 / 16
We can simplify this fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:
A = (78.5 ÷ 2) / (16 ÷ 2)
A = 39.25 / 8
Now, we can write the mixed number:
39.25 / 8 = 4 21/25
Therefore, the area of the table top is 4 21/25 square feet.