Find the area and the perimeter of both shapes. explain what you are doing and clearly stating all formulas used.

see below

Step-by-step explanation:

a) diameter = 5  ⇒  radius (r) = 2.5

   area of circle = r² = x 2.5² = 6.25 = 19.6 cm² (3 sf)

   perimeter = circumference of circle

                    = 2r = 2 x x 2.5 = 5 = 15.7 cm (3 sf)

b)  area of sector =

                             =

                             = = 10.5 cm² (3 sf)

    perimeter = circumference - arc length

                     = 2r -

                      = 4 -

                       = = 10.5 cm (3 sf)

c)  area = largest circle - smallest circle

             = 3² - 2²

             = 5 = 15.7 cm² (3 sf)

   perimeter = circumference of largest circle + circumference of smallest circle

                    = 2 x 3 + 2 x 2

                    = 10 = 31.4 cm (3 sf)

answer: 177/8

step-by-step explanation:

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