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devlian [24]
2 years ago
8

What would the area of the circle be if the given radius is 2.3 ft? c= π*r

Mathematics
1 answer:
Margarita [4]2 years ago
4 0
The circumference would be 7.222 ft. to find the area it would be pi(r) squared so it would be 16.62 sq ft
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alexgriva [62]
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8 0
3 years ago
Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y
professor190 [17]

Answer:

Required total charge is 256\pi coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

x^2=y^2\leq 16 so that the charge density at (x,y) is,

\rho (x,y)=2x+2y+2x^2+2y^2

To find total charge on the disk let Q be the total charge and x=r\cos\theta,y=r\sin\theta so that,

Q={\int\int}_Q\rho(x,y) dA                where A is the surface of disk.

=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA

=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta

=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta

=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta

=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta

=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi

=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi

=256\pi

Hence total charge is 256\pi coulombs per square meter.

3 0
3 years ago
What is the approximate value of x in the equation below. log_3/4 25 = 3x-1
yuradex [85]

Answer: The approximate value of x is -3.396

Step-by-step explanation:

Given:  

Now,to find the value of x.

Use logarithm rule:  

We have,

Now,

Using value of:   and  we get,

on simplify:

Adding 1 both the sides, we get

Therefore, the approximate value of x for the equation    is  -3.396.

=

Step-by-step explanation:

5 0
2 years ago
After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay
a_sh-v [17]

Answer:

$t=26.47$

i took test and got it right

6 0
2 years ago
If alex is 14 years old, and ben is 17 years old, in how many years will the sum of their ages be 169 years?
navik [9.2K]
169... because 14+x + 17+x = 169
3 0
3 years ago
Read 2 more answers
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