Respuesta :

Perimeter = radius + radius + 1/4 circumference

                 = 7 + 7 + (2 x 22/7 x 7)/4

                 = 7 + 7 + 44/4

                 = 7 + 7 + 11

                 = 25 cm

Answer: 5.5 cm

Step-by-step explanation:

The perimeter of a circle is referred to as the circumference

Circumference of a FULL circle = π·r

[tex]\text{Circumference of a quarter of a circle}= \dfrac{1}{4}\pi \cdot r[/tex]

[tex]C=\dfrac{1}{4}\pi \cdot 7\\\\\\.\quad =\dfrac{7}{4}\pi\\[/tex]

[tex]\text{Remember that}\ \pi=\dfrac{22}{7}\\\\\dfrac{7}{4}\times \dfrac{22}{7}\quad =\dfrac{22}{4}\quad \rightarrow \quad \dfrac{11}{2}\quad = \quad \large\boxed{5.5}[/tex]