All categories

3 years ago

A circular tablecloth has a diameter of 6 feet, as shown below.

Mathematics

2 answers:

vovikov84 [41]3 years ago

7 0

Answer:

$9\pi ft^2$

Step-by-step explanation:

$\text {Formula for the area of a circle:}\\ A=\pi r^2$

The diameter is given. The radius of a circle is half it's diameter.

$6/2 = 3\\\text {Radius: } 3$

Apply the Formula (using 3.14 for pi):

$A=\pi(3)^2\\A=\pi(9)\\A = 9\pi$

The answers are in exact form.

The circle's area should be $9\pi ft^2$ .

I do not see C or D's options, but choose the answer that is the closest to $9\pi$ .

scoray [572]3 years ago

4 0

Answer:

Step-by-step explanation:

Diameter= 6 ft

Radius = 6/2 = 3 feet

Area of circle = πr²

= π * 3 * 3

= 9π ft²

You might be interested in

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC

jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

now, we can plug values

$\frac{8}{sin(45)}=\frac{BC}{sin(60)}$

$BC=\frac{8}{sin(45)} \times sin(60)$

$BC=9.798$

Calculation of AC:

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

now, we can plug values

$\frac{8}{sin(45)}=\frac{AC}{sin(75)}$

$AC=\frac{8}{sin(45)} \times sin(75)$

$AC=10.928$

Perimeter:

$p=AB+BC+AC$

we can plug values

$p=10.928+8+9.798$

$p=28.726$

Area:

we can use formula

$A=\frac{1}{2}AB \times AC \times sin(A)$

now, we can plug values

$A=\frac{1}{2}8 \times 10.928 \times sin(60)$

$A=37.85570$ ...............Answer

6 0

4 years ago

Read 2 more answers

If x =2 find the value of q in the equation 3x-4=x+q

Effectus [21]

Step-by-step explanation:

given x=2

and the equation

$3x - 4 = x + q$

to find the value of q , you need to make q the subject in the equation as shown below

q= 3x-x -4

q=2x-4

but x= 2

so just substitute the value of x in the equation for the q

$q = 2(2) - 4$

q=4-4

q=0

therefore the value of q is 0

5 0

3 years ago

Which represents a side length of a square that has an area of 450 square inches?

amm1812

The formula of an area of a square:

$A=a^2$

a - a side

We have $A=450\ in^2$

substitute:

$a^2=450\to a=\sqrt{450}\\\\a=\sqrt{225\cdot2}\\\\a=\sqrt{225}\cdot\sqrt2\\\\\boxed{a=15\sqrt2\ in}$

Used:

$\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}$

5 0

3 years ago

A math class has 3 girls and 7 boys in the 7th grade and 5 girls and 5 boys in the 8th grade the teacher randomly selects a seve

Minchanka [31]

In the 7th and 8th grade combined, there 3+5 girls = 8 girls, and 7+5 boys = 12 boys. If there are only boys and girls, then there are 12+8=20 students in all.

The fraction of girls out of the total is P = 8/20 = 2/5.

8 0

3 years ago

Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.

aliya0001 [1]

<span>Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.=3/10

</span><span>The probability of picking an odd prime number is . The probability of picking a number greater than 0 that is also a perfect square is=3/10</span>

3 0

3 years ago

Read 2 more answers