2 Answers

Vemund · Answer 1 · 2023-01-11T07:19:16+0000

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:

$Area=(\theta)/(360\degree)*\pi r^2$

Substitute the given values:

$\begin{gathered} Area=\frac{45\operatorname{\degree}}{360\degree}*3.14*10^2 \\ =39.25\;cm^2 \end{gathered}$

The area of the top surface of the wedge is 39.25 cm².

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