All categories

4 years ago

What is the approximate area of the circle shown?

Mathematics

2 answers:

Svetradugi [14.3K]4 years ago

8 0

Your answer is 153.86

d1i1m1o1n [39]4 years ago

3 0

Answer:

Area of circle is 153.86 cm²

Step-by-step explanation:

Given : Diameter of circle is 14 cm.

We have to find the approximate area of the circle shown.

We know

Area of circle = π·r²

Given diameter = 14 cm

So radius is half of diameter.

So, radius = 7 cm

Thus, Area of circle = π·r²

Area of circle = 3.14 ·7²

Simplify, we have,

Area of circle = 153.86 cm²

Thus, Area of circle is 153.86 cm²

You might be interested in

Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local mi

Andre45 [30]

Answer:

Critical points are 1 and -1

Maximum at x=1

Minimum at x=-1

Step-by-step explanation:

We are given that a function

$f(x)=3tan^{-1}(x)-\frac{3}{2} x+5$ on ( $-\infty,\infty$ )

We have to find the critical points of the function.

To find the critical point we will differentiate function w.r.t x and then substitute f'(x)=0

$f'(x)=\frac{3}{1+x^2}-\frac{3}{2}$

$\frac{d(tan^{-1}x)}{dx}=\frac{1}{1+x^2}$

$f'(x)=0$

$\frac{3}{1+x^2}-\frac{3}{2}=0$

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

$1+x^2=2$

$x^2=2-1=1$

$x=\pm1$

Therefore, the critical points of the given function are 1 and -1.

$f(0)=3-\frac{3}{2}=\frac{3}{2}$

$f'(1)=0$

$f'(2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}$

When we goes from 0 to 2 then the sign of derivative change from positive to negative .Therefore, function has local maximum at x=1.

$f(-2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}$

$f(-1)=0$

$f(0)=\frac{3}{2}$

When we goes form -2 to 0 then the sign of derivative change from negative to positive .Hence , function has local minimum at x=-1

Hence, critical points are local maximum and local minimum .

3 0

3 years ago

A jar contains balls numbered 1 to 10. Two balls are drawn with replacement. What is the probability that both balls are numbere

Elenna [48]

Answer:

Step-by-step explanation:

The number of ways that you can draw 2 balls without restriction is 10 * 10 = 100

Two balls will give you 2 or less (meaning 1) or 2*2 = 4

Four ways are possible

2 and 2

2 and 1

1 and 2

1 and 1

4/100 = 1/25 is the probability of making this happen.

5 0

3 years ago

For the following expression, complete each task:

Scorpion4ik [409]

Part 1: 6x+ -10y+ -2z+ 12
Part 2: What order do you want it to be?
6x+12+-10y+-2z
-2z+-10y+6x+12

Part 3:
2(3x+-5y+-z+6)

8 0

3 years ago

El horario y el minutero de un reloj miden respectivamente 0.7 y 1.2cm. Determinar la distancia entre los extremos de dichas man

Fed [463]

Answer:

1.5887 cm

Step-by-step explanation:

If the time is 13:30, The hour pointer will be between the numbers 1 and 2.

Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.

The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.

The angle formed by the pointers will be 180 - 45 = 135 degrees.

We can draw a triangle with both pointers and this angle (image attached)

So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:

d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)

d^2 = 0.49 + 1.44 - (-0.5940) = 2.524

d = 1.5887 cm

8 0

4 years ago

Mark has a postcard with a width of 3 1/3 inches. He wants to enlarge the postcard by a factor of 9 1/2 to make a poster. Which

Anna11 [10]

Answer:

C. The poster will have an width of 31 2/3 inches.

Step-by-step explanation:

3 1/3*9 1/2= 31 2/3 inches

8 0

3 years ago