Find the circumference and area of the circle. Use 3.14 or 22/7 for π.

Mathematics

1 answer:

Hoochie [10]2 years ago

4 0

Answer:

circumference: 62.8 ft
area: 314 ft²

Step-by-step explanation:

The circumference is given by the formula ...

C = πd

Using the given numbers, the circumference is ...

C = (3.14)(20 ft) = 62.8 ft

The area is given by the formula ...

A = πr² . . . . . where radius r is half the diameter

Using the given numbers, the area is ...

A = 3.14(10 ft)² = 314 ft²

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Properties used:

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1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.