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3 years ago

3. The circumference of a circle is 6 pie yards.

Mathematics

2 answers:

Sloan [31]3 years ago

7 0

Answer:

9 pi yards squared

Step-by-step explanation:

By definition, the circumference of a circle is equal to 2pi(radius) or pi(diameter).

Since the circumference is 6 pi yards, we can work backwards to find the area.

Set the equation of the circumference of a circle and the circumference given to you equal to each other in order to find your radius. With the radius we can calculate your area.

2pi(radius)=6 pi yards

Divide both sides by 2

pi(radius)=3 pi yards

Divide both sides by pi

radius=3 yards

Now that we know the radius we can find the area.

By definition, the area of a circle is pi(radius)^2 (This reads as pi times the radius squared)

Squaring the radius is just multiplying it by itself. In this case you would multiply 3 by 3 to get 9.

pi(9 yards squared)=Area

Area=9 pi yards squared

LiRa [457]3 years ago

4 0

Answer:

113.1 yards

Step-by-step explanation:

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3 years ago

119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun

sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

$(1+\frac{0.055}{12})=z$

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The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

A geometric series is given by:

$1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}$

Translating our series to the short form:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

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3 years ago