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This figure consists of a rectangle and
semicircle.
4 cm
What is the area of this figure?
6 cm
Use 3.14 for pi.
19.42 cm2
O 20.28 cm
O 38.13 cm
O 32.84 cm?

This figure consists of a rectangle and semicircle 4 cm What is the area of this figure 6 cm Use 314 for pi 1942 cm2 O 2028 cm O 3813 cm O 3284 cm class=

Respuesta :

Step-by-step explanation:

Area of figure = area of rectangle + area of semicircle

[tex] = 6 \times 4 + \ \frac{pi \times {3}^{2} }{2} \\ = 24 + \frac{3.14 \times 9}{2} \\ = 24 + \frac{28.26}{2} \\ = 24 + 14.13 \\ = 38.13 \: {cm}^{2} [/tex]

Answer:

38.13 cm²

Step-by-step explanation:

Total area = area of rectangle + area of semicircle

Area of rectangle:

A = LW

A = 6 × 4

A = 24 cm²

Area of semicircle:

A = (πr²)/2

A = ((3.14)(3)²)/2

A = ((3.14)(9))/2

A = (28.26)/2

A = 14.13 cm²

Total Area = 24 + 14.13

Total Area = 38.13 cm²