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2 years ago

The endpoints of a diameter of a circle are A(3,1) and B(8,13). Find the area of the circle in terms of pi.

Mathematics

1 answer:

Talja [164]2 years ago

7 0

Answer:

A = 169π/4

Step-by-step explanation:

From these two given points we find the length of the diameter of this circle, using the Pythagorean Theorem:

d^2 = (8 - 3)^2 + (13 - 1)^2, or

d^2 = 25 + 144 = 169

Thus, the diameter, d, of this circle is √169, or 13.

The radius is thus 13/2 units.

The area formula is A = πr^2. Here the area is

A = π(169/4), or A = 169π/4

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The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch

lions [1.4K]

Answer:

The area of this park is 130.60 square miles.

Step-by-step explanation:

Given : The scale of a certain map is $\frac{4}{5}$ inch = 16 miles. A square park is represented on the map by a square with side length $\frac{5}{8}$ inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is $\frac{4}{5}$ inch = 16 miles.

Let the side length of $\frac{5}{8}$ inch = x miles.

So, $\dfrac{\frac{4}{5}}{\frac{5}{8}}=\dfrac{16}{x}$

$\dfrac{4\times 8}{5\times5}=\dfrac{16}{x}$

$\dfrac{32}{25}=\dfrac{16}{x}$

$x=\dfrac{16\times 25}{35}$

$x=11.428$

The side length of a square is 11.428 miles.

The area of the square is $A=s^2$ .

$A=(11.42)^2$

$A=130.599\ miles^2$

To nearest hundredth,

The area of this park is 130.60 square miles.

8 0

3 years ago

Is 2/3 greater than 2/5?

svetoff [14.1K]

Yes. 2/3 is greater than 2/5. You can check this by cross multiplication or easier just look at the denominator and numerator. In this case the numerator is the same so it's easier in a sense that you need to look at the denominator. Since the denominator 3 is close to the numerator 2 it shows that it's almost a whole unlike the other fraction. You can also convert each fraction to decimals and compare it which is also easy. Just divide the numerator by the denominator and you've got a decimal. Hope this helps!

7 0

3 years ago

What is the value of y

trapecia [35]

Answer:

$Here,\\Since~BC$ ║ $DE,\\$