The perimeter of the shape is 94 cm and the area is 462 sq cm.
Step-by-step explanation:
Given,
The radius (r) = 14 cm
To find the area and perimeter of the given shape.
The given shape is [tex]\frac{3}{4}[/tex] of the full circle.
Formula
The perimeter of the circle = 2πr
The perimeter of the given shape = [tex]\frac{3}{4}[/tex](2πr)+r+r = [tex]\frac{3}{4}[/tex](2πr)+2r
The area of the circle = πr²
Now,
The perimeter of the given shape = [tex]\frac{3}{4}[/tex](2×[tex]\frac{22}{7}[/tex]×14)+2×14 = 94 cm
The area of the given shape = [tex]\frac{3}{4}[/tex](πr²)
= [tex]\frac{3}{4}[/tex]×[tex]\frac{22}{7}[/tex]×14² = 462 sq cm
