This is an incomplete question, the image of shape is shown below.
Answer : The area of the shape is, [tex]111.02\text{ units}^2[/tex]
Step-by-step explanation :
The given image is cone.
Formula used to calculate the area of the shape (cone) is:
Area of cone = [tex]\pi rl[/tex]
where,
r = radius of cone
l = slant height of cone
First we have to calculate the slant height of cone.
Using Pythagoras theorem in ΔABC :
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
[tex](AC)^2=(AB)^2+(BC)^2[/tex]
Given:
Side AB = 5 unit
Side BC = 5 unit
Now put all the values in the above expression, we get the value of side AC.
[tex](AC)^2=(5)^2+(5)^2[/tex]
[tex]AC=\sqrt{(5)^2+(5)^2}[/tex]
[tex]AC=l=\sqrt{50}units[/tex]
Now we have to calculate the area of shape.
Area of cone = [tex]\pi rl[/tex]
Area of cone = [tex]3.14\times 5\times \sqrt{50}[/tex]
Area of cone = [tex]111.02\text{ units}^2[/tex]
Thus, the area of the shape is, [tex]111.02\text{ units}^2[/tex]
