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 feet.



what is the area aa of the table after it is cut in half ?

Answer 1

Answer:

Step-by-step explanation:

14.14

 

ft

2

Explanation:

The table cut in half is now the shape of a semicircle.  

http://bestcoloringpages.com/semi-circle-coloring-page_1d5429.html

http://bestcoloringpages.com/semi-circle-coloring-page_1d5429.html

The area of a normal circle is  

π

r

2

, but since this is half of a circle, we will divide that by  

2

:

π

r

2

2

=

area of a semicircle

r = radius

The length of the diameter is  

6

, but we will divide that in half to find the radius, since that is what is needed in the equation:

6

2

=

3

Now substitute into the equation:

π

r

2

2

=

area of a semicircle

π

(

3

)

2

2

π

9

2

→

4.5

π

=

14.14

So the area of the tabletop is  

14.14

 

ft

2