Question

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 \text{ feet}6 feet6, start text, space, f, e, e, t, end text.
What is the area AAA of the table after it is cut in half ?
Give your answer in terms of pi.

Answer 1

Question:

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 of the table after it is cut in half ? Give your answer in terms of pi.

Given:

$\text{A round table is cut into half.}$

$\text{The edge that is cut is 6 feet.}$

Find:

$\text{The area of the table after it is cut.}$

Explanation:

$\text{Before the table is cut, it is circle in shape.}$

$\text{After the table is cut, it is semicircle in shape.}$

Find the area of the semicircle table:

$\text{Area of a circle = }\pi r^2$

$\text{Area of a semicircle = } \dfrac{1}{2} \pi r^2$

$\text{Area of the semicircle table = } \dfrac{1}{2} \pi (6 \div 2)^2$

$\text{Area of the semicircle table = } \dfrac{9}{2} \pi \text{ ft}^2$

$\boxed{\boxed{\textbf{Answer: Area of the semicircle table = } \dfrac{9}{2} \pi \text{ ft}^2}}$

Answer 2

$\huge\bold\green{Answer}$

According to the question we have given :-

A round table is cut into two halfs and the edge of cut is 6 feet in length

So , we have to find the area of table after cut

$\huge\bold\green{Explanation}$

As , said in question the table is in shape of circle and than it cuts in two halfs .

It means when table if cuts off it comes in shape of semicircle

By using the formula of semicircle of circle :-

$\implies\tt{Area \:of \: semicircle = \dfrac{1}{2} \pi r^2}$

$\implies\tt{Area \:of \: semicircle = \dfrac{1}{2} \pi (6 \div 2)^2}$

$\implies\tt{Area \:of\: \: semicircle = \dfrac{9}{2} \pi \text{ ft}^2}$

Hence the area of half table (semicircular shape ) is 9/2 π ft²