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The figure consists of a quarter circle and a parallelogram. what is the area of the composite figure? use 3.14 for . Round to the nearest whole number.

70in.²
84in.²
154in.²
224in.² ​

The figure consists of a quarter circle and a parallelogram. what is the area of the-example-1

1 Answer

3 votes

Answer:

224

Explanation:

the area of a circle is
\pi
r^(2), so for the circle plug in your numbers:

(3.14)(
14^(2)) = 615.44

divide this by 4 because t=in the picture you only have a fourth of a circle:

615.44 / 4 = 153.86

the formula for area of a trapezoid is
(a + b)/(2) × h

so plug in your values:
(14+14)/(2) × 5

you get 70

add 70 and 153.22

70 + 153.22 = 223.22

this can round to 224

User Omer Maki
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