Question

What is the area of the shaded part of the figure if x=8 ft? Use 3.14 to approximate π. A square with side lengths x feet. A quarter circle with radius x feet is cut out of the square. x=8 ft Area of a quarter circle =14 πx2 CLEAR CHECK ft2

Answer 1

The area of the shaded part of the figure is; 114.3ft²

Area of a quarter circle and a square

From the task content:

• It follows that the area of the shaded portion of the figure is the sum of the area of the square and the quarter circle.

The area of the square is;

• A(square) = x² = 8² = 64ft².

The area of the quarter circle is;

• A(quarter circle) = (1/4)πx² = 1/4×22/7 × 8²

A(quarter circle) = 50.3ft².

Ultimately, the area of the shaded part of the figure is; 50.3ft² + 64ft² = 114.3ft².

Read more on area of quarter circles;

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Answer 2

Answer:

13.76

Step-by-step explanation:

I got it right :)