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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 pi. Round to the nearest whole number. please answer as soon as poossible
70 in
84 in
154 in
224 in

The figure consists of a quarter circle and a parallelogram What is the area of the composite figure Use 314 for pi Round to the nearest whole number please ans class=

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sqdancefan
The area of a full circle is given by
  A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
  A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
  A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
  A = (quarter circle area) + (parallelogram area)
  A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
  A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
  224 in^2

The area of composite figure of both Quarter circle and Parallelogram is 224inches.

What is Quarter circle?

"When a Circle is divided into four equal parts, then each parts of a circle is called Quarter of a Circle".

What is Parallelogram?

A parallelogram is "two dimensional geometrical shape, whose sides are parallel to each other".

According to the question,

Area of circle =πr²

Formula for Area of quarter Circle = (π/4)r²

Formula for Area of parallelogram = base × height = (b×h)

In order to find the area of composite figure

Formula for Area of composite figure =  Area of quarter Circle + Area of parallelogram

=  (π/4)r² + (b×h)  

= (3.14/4)(14)² + (14×5)

= 223.86inches ≈ 224inches

Hence, the area of composite figure of both Quarter circle and Parallelogram is 224 inches.

To learn more about Quarter circle and Parallelogram here

https://brainly.com/question/15249201

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