Ask question

Ask question

All categories

2 years ago

13

Find the area of a quarter circle with the radius of 6cm

1 answer:

Ronch [10]2 years ago

8 0

Answer:

28.27cm³

Step-by-step explanation:

Area of a circle:

$A=\pi r^2$

First, find the area of a full circle with this given radius:

$\rightarrow A=(3.14159)(6)^2\\\rightarrow A=(3.14159)(36)\\\rightarrow A=113.09734\\$

Now, to find the radius of a quarter circle with the same radius, just divide by 4:

$\rightarrow A = \frac{113.09734}{4}\\\rightarrow A = 28.27433$

The radius of the quarter circle is about 28.27cm³

You might be interested in

John has 6 boxes of cans. Each box contains 8 cans. What is the total number of cans John has? i dont understand for my sis

LUCKY_DIMON [66]

Answer:

48 cans you multiply 8×6

3 0

3 years ago

Last week, Jamie counted the number of rice grains in his plate, and found he had 250

Reil [10]

30% decrease
175 divided by 250 = 0.7
1 - 0.7 = 0.3
0.3 = 30%

4 0

3 years ago

The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

andrezito [222]

Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

$x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}$

Simplify:

$x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}$

Also, it is given that the difference of two roots of the given equation is $4\frac{2}{3} = \frac{14}{3}$

i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

or

$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve $x_1 , x_2$

$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

or

$x_1 = \frac{-10 + \sqrt{100- 96}}{6}$ or

$x_1 = \frac{-10 + \sqrt{4}}{6}$

Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

or

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ or

$x_2 = \frac{-10 - \sqrt{4}}{6}$

Simplify:

$x_2 = -2$

therefore, the solution for the given equation is: $-\frac{4}{3}$ and -2.

3 0

3 years ago

1.3 ½ days=______hrs.

spayn [35]

1) 84 hours
2) 2.4 meters
3) 4800 seconds
4) 100000grams
5)219.2 Fahrenheit degrees

8 0

2 years ago

at pizza pi, 9% of the pizzas made last week had extra cheese. if 27 pizzas had extra cheese how many pizzas in all were made la

LuckyWell [14K]

(27/9)100=300

THREE HUNDRED PIZZAS
YUMMYYYY

3 0

3 years ago

Read 2 more answers