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3 years ago

Find the circumference and area of a circle with diameter 12 ft. Express your answer in terms of pie

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

4 0

Answer:

Circumference: 12π

Area: 36π

Step-by-step explanation:

The equation for the circumference of a circle is:

C = πd

Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.

C = 12π

And now we have found the circumference of the circle.

The equation for the area of a circle is:

A = πr²

Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:

12 = 2r

r = 6

Now that we know r, we can find the area of the circle:

A = π(6)²

A = 36π

Now we have found the area.

So the circumference is 12π and the area is 36π.

I hope you find my answer and explanation to be helpful. Happy studying.

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Simplify sqrt 244x + sqrt 36x - sqrt 25x

Morgarella [4.7K]

First simplify the square roots: $2 \sqrt{61x}+6 \sqrt{x}-5 \sqrt{x}$
Then simplify the last two terms: $2 \sqrt{61x}+\sqrt{x}$
Since 61 is prime, you can't take a rational root out of it.

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3 years ago

Jonas’s vacuum cleaner uses 5/8 kilowatts of electricity per hour. His clothes dryer uses 4 11/16 of electricity per hour. How m

alekssr [168]

Hope this helps you out.

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3 years ago

12<br> Using side lengths only, could the triangles be similar?<br> 0.5<br> m05 1 1.5

Murljashka [212]

Answer:

$\large\boxed{\text{No.}\ \dfrac{0.5}{1}\neq\dfrac{1}{1.5}\neq\dfrac{1.5}{2}}$

Step-by-step explanation:

$\text{Let}\\ a,\ b,\ c\ -\ \text{sides of a triangle ABC, where}\ a\leq b\leq c\\d,\ e,\ f\ -\ \text{sides of a triangle}\ DE F,\ \text{where}\ d\leq e\leq f.\\\\\triangle ABC\sim\triangle DE F\iff\dfrac{a}{d}=\dfrac{b}{e}=\dfrac{c}{f}\\\\/\text{corresponding sides are in proportion}/$

$\bold{WARNING !!!}\\\\\text{No triangle like QRS exists!}\\\\1 + 0.5 = 1.5 !!!\\\\\text{The sum of the lengths of the two shorter sides of the triangle}\\\text{must be greater than the length of the longest side.}$

$\text{Despite this, let's check the ratios}$

$\text{We have:}\\\\\triangle XYZ\to a=1,\ b=1.5,\ c=2\\\triangle QRS\to d=0.5,\ e=1,\ f=1.5$

$\text{Check:}\\\\\dfrac{d}{a}=\dfrac{0.5}{1}=0.5\\\\\dfrac{e}{b}=\dfrac{1}{1.5}=\dfrac{10}{15}=\dfrac{2}{3}\\\\\dfrac{f}{c}=\dfrac{1.5}{2}=\dfrac{15}{20}=\dfrac{3}{4}\\\\\dfrac{d}{a}\neq\dfrac{e}{b}\neq\dfrac{f}{c}\neq\dfrac{d}{a}$

8 0

3 years ago

39.2 is what percent p of 112

madam [21]

39.2 is what percent p of 112

39.2/112

39.2 ÷ 112 = 0.35

Convert to percent:-

0.35 × 100 = 35
35%

3.92 is 35% of 112.

3 0

4 years ago

The correct and best answer will be marked as brainiest

marta [7]

Answer:

x=10

m=3

Step-by-step explanation:

The angles are the same since the sides are the same length (isosceles triangle)

55 = 5x+5

Subtract 5

55-5 =5x+5-5

50 = 5x

Divide by 5

50/5 = 5x/5

10=x

The altitude is a perpendicular bisector so

5m-3 = 2m+6

Subtract 2m from each side

5m-3-2m = 2m+6-2m

3m-3 = 6

Add 3 to each side

3m-3 +3 =6+3

3m =9

Divide by 3

3m/3 = 9/3

m =3

8 0

3 years ago