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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet.
What is the area
A of the table after it is cut in half ?
Give your answer in terms of pi.

A=◻quad"-x "" feet "^(2)

A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is $6$ feet. $\newline$ What is the area $A$ of the table after it is cut in half ? $\newline$ Give your answer in terms of pi. $\newline$ $A=\square$ $\text {feet }^{2}$

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Scale drawings: word problems

Full solution

Q. A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is

6

feet.

\newline

What is the area

A

of the table after it is cut in half ?

\newline

Give your answer in terms of pi.

\newline

A=\square

\text {feet }^{2}

Calculate Diameter: The edge along the wall is the diameter of the half-circle, which is $6$ feet.
Find Radius: To find the radius, divide the diameter by $2$ . So, radius $r$ = $\frac{6 \text{ feet}}{2}$ = $3 \text{ feet}$ .
Calculate Area: The area of a circle is $A = \pi r^2$ . Since we have a half-circle, the area will be half of that.
Calculate Area: Calculate the area of the half-circle: $A = \frac{1}{2} \times \pi \times (3 \text{ feet})^2$ .
Calculate Area: $A = \frac{1}{2} \times \pi \times 9$ feet $^2$ .
Calculate Area: $A = 4.5\pi$ feet $^2$ .

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