Answer:
The area of the top surface of the wedge is 39.25 cm².
Explanation:
• The central angle of the wedge = 45 degrees
,
• The radius of the sector = 10 cm
To find the area of the top of the wedge, we find the surface area of a sector with the given properties.
If the central angle is in degrees, the area of a sector is calculated using the formula:
[tex]Area=\frac{\theta}{360\degree}\times\pi r^2[/tex]
Substitute the given values:
[tex]\begin{gathered} Area=\frac{45\operatorname{\degree}}{360\degree}\times3.14\times10^2 \\ =39.25\;cm^2 \end{gathered}[/tex]
The area of the top surface of the wedge is 39.25 cm².
