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Help...................

Help...................-example-1
User Abdool
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1 Answer

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9514 1404 393

Answer:

1. 42 square feet

2. 3192 square cm

Explanation:

In general, the shaded area is the area of the bounding geometry less the unshaded area inside that boundary. In each case here, the bounding geometry is a rectangle, and the unshaded area is some portion of a circle. The rectangle and circle area formulas are used.

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1. shaded area = square area - circle area

shaded area = (14 ft)² = π(7 ft)² = (196 -49π) ft²

We will use 22/7 for pi, so the shaded area is ...

(196 -49(22/7)) ft² = (196 -154) ft²

shaded area = 42 ft²

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2. Here, the bounding box is a rectangle, and we only need to subtract a semicircle.

shaded area = (50 cm)(70 cm) -1/2(22/7)(14 cm)² = 3500 cm² -308 cm²

shaded area = 3192 cm²

User MrKos
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