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alekssr [168]
3 years ago
5

The radius of a circle is 6 inches. What is the area of a sector bounded by a 90° arc?

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

[1] Let's make the problem easier to start. Imagine that they had said to find the area of a sector bounded by a 360* arc (the whole circle). Could we have found the area then? 

Sure we could! We know that A = pi*r^2, so that would just be:

A = pi*(6)^2 = 36*pi sq. miles.

Easy. But of course, we weren't so lucky... they want 135*... drat!

[2] Well, let's get a little closer, could we find the area if the angle was 180*? Sure! That's just half the circle. After all:

180*/360* = 1/2.

We know the whole circle is 36*pi sq. miles. So, the area bounded by a 180* arc would just be half of this: 18*pi sq. miles. 

"But that's not the question," you scream!! Alright, alright, calm down... let's bring it all together.

[3] We know the area of the whole circle [1]. We also know that if we can figure out the fraction of the circle the problem is easy [2]. So, what fraction of a circle would match an arc of 135*?

Well, we can see that

135*/360* = 0.375    or    3/8

So the area is just 0.375 of the whole circle:

0.375* 36*pi sq. miles = 13.5*pi sq. miles

Read more on Brainly.com - brainly.com/question/2978439#readmore

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Tell whether the angles are complementary or supplementary. Then find the value of x.
ivann1987 [24]

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Step-by-step explanation:

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3 years ago
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What is the volume of this equation?
Pachacha [2.7K]

Answer:

Volume ≈ 33.33 cubic feet

Step-by-step explanation:

The question is:

<em>Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.</em>

<em />

So, the base is a square with side length 5 feet.

And the height of the pyramid is 4 feet.

The volume of a pyramid is given by the formula:

V=\frac{a^2 h}{3}

Where

a is the square base side length (given as 5)

h is the height of the pyramid (given as 4)

Now we substitute and find the value:

V=\frac{a^2 h}{3}\\V=\frac{(5)^2 (4)}{3}\\V=33.33

The volume is around 33.33 cubic feet

5 0
3 years ago
WILL GIVE BRAINLY NEED HELP BAD PLZ WUICK <br> What is the perimeter of the triangle?<br> units
AysviL [449]

Answer:

26units!

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP ASAP!! an onion soup recipe calls for 3 2/3 cups of chopped onions. katrina has already chopped 1 1/3 cups of onions
ivanzaharov [21]

Answer:

x+1\frac{1}{3}=3\frac{2}{3}

Step-by-step explanation:

Let the number of cups of onions Katrina still needs to chop = x

She has already chopped the onions = 1\frac{1}{3} cups ≈ \frac{4}{3} cups

So total amount of chopped onions = (x+\frac{4}{3}) cups

Since, onion soup recipe calls for the chopped onions = 3\frac{2}{3} cups ≈ \frac{11}{3} cups

Therefore, equation which shows the number of cups of onions to be chopped more will be,

x+1\frac{1}{3}=3\frac{2}{3}

We further solve this equation for the value of x,

x = \frac{11}{3}-\frac{4}{3}

x = \frac{(11-4)}{3}

  = \frac{7}{3} cups

  ≈ 2\frac{1}{3} cups

5 0
3 years ago
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