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What is the approximate area of the shaded region? Use 3.14 for pi

Please do step by step...

What is the approximate area of the shaded region? Use 3.14 for pi Please do step-example-1
User Rigyt
by
3.3k points

2 Answers

19 votes
19 votes

Answer:

A

Explanation:

Find the area of rectangle Then of the circle then simply suntract.

User Agus
by
3.1k points
7 votes
7 votes

Answer:

A. 20.86 square inches

Explanation:

a)

We know that the formula for the area of a rectangle is Length x Height (A = LH).

Length (L) = 6 inches

Height (H) = 4 inches

So we incorporate our formula for the area of a rectangle into this situation:

Area (A) = 6 x 4

Area (A) = 24 in^2

b)

We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).

Radius (r) = 1 inch

So we incorporate our formula for the area of a circle into this situation:

Area (A) = 3.14 x 1^2

Area (A) = 3.14 in^2

c)

We can see from the diagram that the shaded region come mainly from the rectangle. So to find the area of the shaded part, we can simply subtract the area of the circle, from the area of the rectangle (Area of rectangle - Area of circle = Area of shaded region).

Area of rectangle = 24 in^2

Area of circle = 3.14 in^2

So we incorporate our formula for the area of the shaded part into this situation:

Area (A) = 24 in^2 - 3.14 in^2

Area (A) = 20.86 in^2

User Raj Srivastava
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2.3k points