Answer:
The area is 56.7 square inches
Step-by-step explanation:
Given
See attachment for corner shelf
Required
The area
The corner shelf is a quadrant with radius;
[tex]r = 8.5in[/tex]
The area of a quadrant is:
[tex]Area = \frac{\pi r^2}{4}[/tex]
So, the area of the corner shelf is:
[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]
[tex]Area = \frac{\pi * 72.25}{4}[/tex]
[tex]Area = \pi * 18.0625[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]Area = 3.14 * 18.0625[/tex]
[tex]Area = 56.7[/tex] -- approximated
