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3 years ago

The figure shows a circle within a square. Find the circumference of the circle let π = 3.14.

Mathematics

1 answer:

Andru [333]3 years ago

8 0

The side of the square = 16 in

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle.

So, the diameter of the circle is equal to 16 in => radius = 8 in

Circumference = 2πr = 2π8 = 16π = 50.24

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A circle has a diameter of 25cm. How far from the centre of this circle is a chord 16cm long? Draw a picture before you start.

yan [13]

Answer:

The cord is 9.6 cm away from the centre of the circle.

Step-by-step explanation:

See The Image First

The image below shows a picture of everything that’s given, labeled, and drawn in the circle.

Description of the Picture:

You can use the Pythagorean to find the what the distance (the length b) the cord is from the center. You can use the radius as the hypotenuse. The radius is half of the diameter, and the diameter is 25. So the radius is 12.5, which means that 12.5 is the hypotenuse of the triangle (also known as side c). The whole length of the cord is 16cm long, and we can use half of the cord, which is 8cm, for the triangle. So we know two sides already: the hypotenuse (the radius) and the length a of the triangle (half of the length of the cord).

To Solve (variables a, b, and c, are in italics so you don’t get confused):

⇒ Use the formula of the Pythagorean Theorem ( $a^{2}+b^{2}=c^{2}$ ), where b is the length of the distance from the cord to the centre of the circle (what we need to find out), a is the length of the side of the triangle (half of the cord size – 8cm), and c is the hypotenuse (the radius – 12.5cm). So plug the given values of b and c into the formula:

$a^{2}+8^{2}=12.5^{2}$

⇒ Solve for a by simplify:

$a^{2}+64=156.25$

⇒ Subtract 64 from both sides:

$a^{2}=92.25$

⇒ Find the square root of both sides to get a by itself:

$\sqrt{a^{2}}=\sqrt{92.25}$

⇒ Simplify to get:

$a=\sqrt{92.25}$ which convert’s to $a=9.60468635...$ round the answer to the nearest tenth is $a=9.6$

Answer: The cord is 9.6 cm away from the centre of the circle.

I hope you understand and that this helps with your question! :)

8 0

3 years ago

Part of the object is a parallelogram. Its base is twice its height. One of the

Softa [21]

Answer:

the answer to this question is clearly a

3 0

3 years ago

A table.Short description, A table.,Long description, Sandwich Fat (in grams) Calories Hamburger 18 390 Cheeseburger 25 430 Baco

Oxana [17]

Using it's concept, it is found that the range of fat grams for the five sandwiches is of 24 grams.

<h3>What is the range of a data-set?</h3>

It is given by the difference of the highest value by the lowest value in the data-set.

In this problem, the sandwich with the least fat has 9 grams and the one with the most has 33 grams, hence the range is given by:

R = 33 - 9 = 24 grams.

More can be learned about the range of a data-set at brainly.com/question/24374080

#SPJ1

5 0

3 years ago

How do i solve this exponential equation

Novay_Z [31]

Answer:

x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

$3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}$

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Additional comment

A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.

3 0

2 years ago

What is 362584 rounded to the nearest ten thousand

Margarita [4]

I think it is 363,000

8 0

3 years ago

The figure shows a circle within a square. Find the circumference of the circle let π = 3.14. ​

The figure shows a circle within a square. Find the circumference of the circle let π = 3.14.