amandabriana amandabriana
  • 10-06-2021
  • Mathematics
contestada

Find area of shape?

Find area of shape class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 15-06-2021

Answer:

521.1 mm²

Step-by-step explanation:

The shape is made up of a semicircle and a trapezoid.

Area of the shape = area of the semicircle + area of the trapezoid

= ½(πr²) + ½(a + b)*h

Where,

r = radius of the semicircle = ½(20) = 10 mm

a = 20 mm

b = 32 mm

h = height of trapezoid = 14 mm

Plug in the values

Area of the shape = ½(π*10²) + ½(20 + 32)*14

= 157.1 + 364

= 521.1 mm²

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