SH4N
Answered

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The figure oelow is a composite of a
semicircle and a trapezoid.
9 cm
4 cm
5 cm
Which measurement is closest to the area
of the composite figure?
A 91.6 cm? C 68.4 cm?
B 78.2 cm? D 83.6 cm?

The Figure Oelow Is A Composite Of A Semicircle And A Trapezoid 9 Cm 4 Cm 5 Cm Which Measurement Is Closest To The Area Of The Composite Figure A 916 Cm C 684 C class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  C  68.4 cm²

Step-by-step explanation:

The area of the semicircle is given by ...

  A = 1/2π(d/2)^2 = (π/8)d^2

  A = (π/8)(9 cm)^2 ≈ 31.8 cm^2

The area of the trapezoid is given by ...

  A = 1/2(b1 +b2)h

  A = 1/2(9 cm + 5 cm)(4 cm) = 28 cm^2

Then the total area is ...

  31.8 cm^2 +28 cm^2 = 59.8 cm^2

Of the offered choices, 68.4 cm^2 is closest.

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