# Math

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Find the area of each circle use 22/7 for pie.

1. r=14ft

2.d=3 1/3 yd

• Math - ,

A = pi r^2
A = (22/7)(14)^2 , you do arithmetic

in the second one r = D/2
so r = (1/2)(10/3) = 5/3 yard
so
A = pi r^2
A = (22/7)(25/9) you do arithmetic
in square yards (yd^2)

• Math - ,

The formula for the area of a circle is A = pi*r^2

1.
A = 22/7 * 14 * 14
A = ?

2. In this problem, you need to find the radius -- which is 1/2 of the diameter.
A = 22/7 * 1 2/3 * 1 2/3
A = ?

• Math - ,

You were given two questions:

Find the area of each circle use 22/7 for pie.

1. r=14ft

2.d=3 1/3 yd

First of all, it's not pie; it's pi.

Pie is something we eat; pi is an irrational number. The symbol for pi is ð.

The area of a circle formula is:

Area = pi times radius squared, which is written A = ð(r)^2.

We are looking for A, where A represents the area of the circle.

A = ð(14ft)^2

A = (22/7)(14ft)^2

A = 616 ft^2....This is read: "616 square feet." Why square feet? Area is measured in square units.

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For the second question, you were given the diameter as a mixed number.

Your diameter is 3_1/3, which I will write as an improper fraction (10/3).

We need the radius in order to plug it into the area formula as given above.

The radius is 1/2 of the diameter.

So, (10/3) times (1/2) = (5/3)

The fraction (5/3) is our radius here.

We now plug (5/3) for r in the formula for the area of a circle and simplify.

A = ð(r)^2

A = (22/7)(5/3)^2

A = (22/7)(25/9)

A = 550 yards^2...This is read: "550 square yards.

That's it!